825247840 has 48 divisors (see below), whose sum is σ = 1957510800. Its totient is φ = 328768000.

The previous prime is 825247837. The next prime is 825247883. The reversal of 825247840 is 48742528.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 825247793 and 825247802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29886 + ... + 50434.

It is an arithmetic number, because the mean of its divisors is an integer number (40781475).

Almost surely, 2^825247840 is an apocalyptic number.

825247840 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 825247840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978755400).

825247840 is an abundant number, since it is smaller than the sum of its proper divisors (1132262960).

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

825247840 is a wasteful number, since it uses less digits than its factorization.

825247840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20815 (or 20807 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 825247840 is about 28727.1272493440. The cubic root of 825247840 is about 937.9826359944.

The spelling of 825247840 in words is "eight hundred twenty-five million, two hundred forty-seven thousand, eight hundred forty".