852309864 has 96 divisors (see below), whose sum is σ = 2735853120. Its totient is φ = 243513216.

The previous prime is 852309853. The next prime is 852309937. The reversal of 852309864 is 468903258.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17709 + ... + 44924.

It is an arithmetic number, because the mean of its divisors is an integer number (28498470).

Almost surely, 2^852309864 is an apocalyptic number.

852309864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

852309864 is an abundant number, since it is smaller than the sum of its proper divisors (1883543256).

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

852309864 is a wasteful number, since it uses less digits than its factorization.

852309864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62661 (or 62645 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 852309864 is about 29194.3464389940. The cubic root of 852309864 is about 948.1255241574.

The spelling of 852309864 in words is "eight hundred fifty-two million, three hundred nine thousand, eight hundred sixty-four".