87164640 has 96 divisors (see below), whose sum is σ = 305091360. Its totient is φ = 23242752.

The previous prime is 87164621. The next prime is 87164659. The reversal of 87164640 is 4646178.

87164640 is a `hidden beast` number, since 8 + 7 + 1 + 6 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (87164621) and next prime (87164659).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87164595 and 87164604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5769 + ... + 14408.

It is an arithmetic number, because the mean of its divisors is an integer number (3178035).

Almost surely, 2^87164640 is an apocalyptic number.

87164640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87164640 is an abundant number, since it is smaller than the sum of its proper divisors (217926720).

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

87164640 is a wasteful number, since it uses less digits than its factorization.

87164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20201 (or 20187 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87164640 is about 9336.2005119856. The cubic root of 87164640 is about 443.3840985580.

The spelling of 87164640 in words is "eighty-seven million, one hundred sixty-four thousand, six hundred forty".