825633900 has 432 divisors, whose sum is σ = 3378158784. Its totient is φ = 163676160.

The previous prime is 825633877. The next prime is 825633911. The reversal of 825633900 is 9336528.

825633900 is a `hidden beast` number, since 8 + 2 + 563 + 3 + 90 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1392004 + ... + 1392596.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2^825633900 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 825633900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689079392).

825633900 is an abundant number, since it is smaller than the sum of its proper divisors (2552524884).

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

825633900 is a wasteful number, since it uses less digits than its factorization.

825633900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 825633900 is about 28733.8458964337. The cubic root of 825633900 is about 938.1288793838.

The spelling of 825633900 in words is "eight hundred twenty-five million, six hundred thirty-three thousand, nine hundred".