825600816 has 80 divisors (see below), whose sum is σ = 2380502400. Its totient is φ = 273955392.

The previous prime is 825600793. The next prime is 825600821. The reversal of 825600816 is 618006528.

It is a happy number.

825600816 is a `hidden beast` number, since 82 + 560 + 0 + 8 + 16 = 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 15 ways as a sum of consecutive naturals, for example, 93855 + ... + 102273.

It is an arithmetic number, because the mean of its divisors is an integer number (29756280).

Almost surely, 2^825600816 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 825600816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190251200).

825600816 is an abundant number, since it is smaller than the sum of its proper divisors (1554901584).

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

825600816 is a wasteful number, since it uses less digits than its factorization.

825600816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 825600816 is about 28733.2701932794. The cubic root of 825600816 is about 938.1163486199.

The spelling of 825600816 in words is "eight hundred twenty-five million, six hundred thousand, eight hundred sixteen".