87240465 has 48 divisors (see below), whose sum is σ = 163891728. Its totient is φ = 42674688.

The previous prime is 87240451. The next prime is 87240493. The reversal of 87240465 is 56404278.

It can be written as a sum of positive squares in 8 ways, for example, as 1140624 + 86099841 = 1068^2 + 9279^2 .

It is not a de Polignac number, because 87240465 - 2¹⁸ = 86978321 is a prime.

It is a super-2 number, since 2×87240465² = 15221797466832450, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 114867 + ... + 115623.

It is an arithmetic number, because the mean of its divisors is an integer number (3414411).

Almost surely, 2^87240465 is an apocalyptic number.

It is an amenable number.

87240465 is a deficient number, since it is larger than the sum of its proper divisors (76651263).

87240465 is a wasteful number, since it uses less digits than its factorization.

87240465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 87240465 is about 9340.2604353412. The cubic root of 87240465 is about 443.5126287179.

The spelling of 87240465 in words is "eighty-seven million, two hundred forty thousand, four hundred sixty-five".