820625824 has 24 divisors (see below), whose sum is σ = 1655014788. Its totient is φ = 400304640.

The previous prime is 820625821. The next prime is 820625833. The reversal of 820625824 is 428526028.

It can be written as a sum of positive squares in 2 ways, for example, as 618417424 + 202208400 = 24868^2 + 14220^2 .

It is not an unprimeable number, because it can be changed into a prime (820625821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311427 + ... + 314050.

Almost surely, 2^820625824 is an apocalyptic number.

It is an amenable number.

820625824 is an abundant number, since it is smaller than the sum of its proper divisors (834388964).

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

820625824 is a wasteful number, since it uses less digits than its factorization.

820625824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625528 (or 625520 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 820625824 is about 28646.5674034429. The cubic root of 820625824 is about 936.2282176604.

The spelling of 820625824 in words is "eight hundred twenty million, six hundred twenty-five thousand, eight hundred twenty-four".