825160160 has 48 divisors (see below), whose sum is σ = 2126667312. Its totient is φ = 300057600.

The previous prime is 825160159. The next prime is 825160163. The reversal of 825160160 is 61061528.

It is a happy number.

825160160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825160163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232661 + ... + 236180.

It is an arithmetic number, because the mean of its divisors is an integer number (44305569).

Almost surely, 2^825160160 is an apocalyptic number.

825160160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825160160 is an abundant number, since it is smaller than the sum of its proper divisors (1301507152).

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

825160160 is a wasteful number, since it uses less digits than its factorization.

825160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468867 (or 468859 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 825160160 is about 28725.6011251288. The cubic root of 825160160 is about 937.9494155781.

The spelling of 825160160 in words is "eight hundred twenty-five million, one hundred sixty thousand, one hundred sixty".