864146820 has 24 divisors (see below), whose sum is σ = 2419611264. Its totient is φ = 230439136.

The previous prime is 864146819. The next prime is 864146831. The reversal of 864146820 is 28641468.

It is a super-2 number, since 2×864146820² = 1493499453032224800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7201164 + ... + 7201283.

It is an arithmetic number, because the mean of its divisors is an integer number (100817136).

Almost surely, 2^864146820 is an apocalyptic number.

It is an amenable number.

864146820 is an abundant number, since it is smaller than the sum of its proper divisors (1555464444).

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

864146820 is a wasteful number, since it uses less digits than its factorization.

864146820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14402459 (or 14402457 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 864146820 is about 29396.3742662254. The cubic root of 864146820 is about 952.4945777138.

The spelling of 864146820 in words is "eight hundred sixty-four million, one hundred forty-six thousand, eight hundred twenty".