825374160 has 240 divisors, whose sum is σ = 3016213200. Its totient is φ = 201056256.

The previous prime is 825374153. The next prime is 825374167. The reversal of 825374160 is 61473528.

825374160 is a `hidden beast` number, since 82 + 537 + 41 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (825374153) and next prime (825374167).

It can be written as a sum of positive squares in 8 ways, for example, as 2143296 + 823230864 = 1464^2 + 28692^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825374167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019836 + ... + 1020644.

It is an arithmetic number, because the mean of its divisors is an integer number (12567555).

Almost surely, 2^825374160 is an apocalyptic number.

825374160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825374160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508106600).

825374160 is an abundant number, since it is smaller than the sum of its proper divisors (2190839040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825374160 is a wasteful number, since it uses less digits than its factorization.

825374160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 825374160 is about 28729.3257839442. The cubic root of 825374160 is about 938.0304922932.

The spelling of 825374160 in words is "eight hundred twenty-five million, three hundred seventy-four thousand, one hundred sixty".