1520100864 has 80 divisors (see below), whose sum is σ = 4499645040. Its totient is φ = 506695680.

The previous prime is 1520100853. The next prime is 1520100877. The reversal of 1520100864 is 4680010251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 41157 + ... + 68804.

It is an arithmetic number, because the mean of its divisors is an integer number (56245563).

Almost surely, 2^1520100864 is an apocalyptic number.

It is an amenable number.

1520100864 is an abundant number, since it is smaller than the sum of its proper divisors (2979544176).

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

1520100864 is an equidigital number, since it uses as much as digits as its factorization.

1520100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109988 (or 109966 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1520100864 is about 38988.4709112835. The cubic root of 1520100864 is about 1149.8048475403.

The spelling of 1520100864 in words is "one billion, five hundred twenty million, one hundred thousand, eight hundred sixty-four".