825939936 has 192 divisors, whose sum is σ = 2547417600. Its totient is φ = 259826688.

The previous prime is 825939901. The next prime is 825939941. The reversal of 825939936 is 639939528.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1768375 + ... + 1768841.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^825939936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825939936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273708800).

825939936 is an abundant number, since it is smaller than the sum of its proper divisors (1721477664).

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

825939936 is a wasteful number, since it uses less digits than its factorization.

825939936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 584 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 825939936 is about 28739.1707604795. The cubic root of 825939936 is about 938.2447764918.

It can be divided in two parts, 82593 and 9936, that added together give a palindrome (92529).

The spelling of 825939936 in words is "eight hundred twenty-five million, nine hundred thirty-nine thousand, nine hundred thirty-six".