87465360 has 80 divisors (see below), whose sum is σ = 285428160. Its totient is φ = 22095360.

The previous prime is 87465359. The next prime is 87465377. The reversal of 87465360 is 6356478.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 5031 + ... + 14150.

It is an arithmetic number, because the mean of its divisors is an integer number (3567852).

Almost surely, 2^87465360 is an apocalyptic number.

87465360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87465360 is an abundant number, since it is smaller than the sum of its proper divisors (197962800).

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

87465360 is a wasteful number, since it uses less digits than its factorization.

87465360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19216 (or 19210 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 87465360 is about 9352.2916977605. The cubic root of 87465360 is about 443.8934083870.

The spelling of 87465360 in words is "eighty-seven million, four hundred sixty-five thousand, three hundred sixty".