820587972 has 24 divisors (see below), whose sum is σ = 1915552800. Its totient is φ = 273408256.

The previous prime is 820587917. The next prime is 820587983. The reversal of 820587972 is 279785028.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15604 + ... + 43412.

It is an arithmetic number, because the mean of its divisors is an integer number (79814700).

Almost surely, 2^820587972 is an apocalyptic number.

It is an amenable number.

820587972 is an abundant number, since it is smaller than the sum of its proper divisors (1094964828).

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

820587972 is a wasteful number, since it uses less digits than its factorization.

820587972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30275 (or 30273 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 820587972 is about 28645.9067232999. The cubic root of 820587972 is about 936.2138226892.

It can be divided in two parts, 820587 and 972, that multiplied together give a square (797610564 = 28242²).

The spelling of 820587972 in words is "eight hundred twenty million, five hundred eighty-seven thousand, nine hundred seventy-two".