825672920 has 64 divisors (see below), whose sum is σ = 1939140000. Its totient is φ = 316008448.

The previous prime is 825672907. The next prime is 825672937. The reversal of 825672920 is 29276528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127931 + ... + 134229.

Almost surely, 2^825672920 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 825672920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969570000).

825672920 is an abundant number, since it is smaller than the sum of its proper divisors (1113467080).

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

825672920 is a wasteful number, since it uses less digits than its factorization.

825672920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 825672920 is about 28734.5248786194. The cubic root of 825672920 is about 938.1436580131.

The spelling of 825672920 in words is "eight hundred twenty-five million, six hundred seventy-two thousand, nine hundred twenty".