825563920 has 20 divisors (see below), whose sum is σ = 1919436300. Its totient is φ = 330225536.

The previous prime is 825563917. The next prime is 825563941. The reversal of 825563920 is 29365528.

It can be written as a sum of positive squares in 2 ways, for example, as 613453824 + 212110096 = 24768^2 + 14564^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5159695 + ... + 5159854.

It is an arithmetic number, because the mean of its divisors is an integer number (95971815).

Almost surely, 2^825563920 is an apocalyptic number.

825563920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825563920 is an abundant number, since it is smaller than the sum of its proper divisors (1093872380).

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

825563920 is a wasteful number, since it uses less digits than its factorization.

825563920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319562 (or 10319556 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 825563920 is about 28732.6281429319. The cubic root of 825563920 is about 938.1023736432.

The spelling of 825563920 in words is "eight hundred twenty-five million, five hundred sixty-three thousand, nine hundred twenty".