87164140 has 72 divisors (see below), whose sum is σ = 220343760. Its totient is φ = 28844928.

The previous prime is 87164131. The next prime is 87164177. The reversal of 87164140 is 4146178.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26887 + ... + 29953.

It is an arithmetic number, because the mean of its divisors is an integer number (3060330).

Almost surely, 2^87164140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87164140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110171880).

87164140 is an abundant number, since it is smaller than the sum of its proper divisors (133179620).

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

87164140 is a wasteful number, since it uses less digits than its factorization.

87164140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 87164140 is about 9336.1737344589. The cubic root of 87164140 is about 443.3832507659.

The spelling of 87164140 in words is "eighty-seven million, one hundred sixty-four thousand, one hundred forty".