87164280 has 96 divisors (see below), whose sum is σ = 323762400. Its totient is φ = 19922688.

The previous prime is 87164279. The next prime is 87164317. The reversal of 87164280 is 8246178.

87164280 is a `hidden beast` number, since 8 + 7 + 1 + 642 + 8 + 0 = 666.

It is a super-2 number, since 2×87164280² = 15195223415836800, which contains 22 as substring.

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

It is a congruent number.

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, 14775 + ... + 19814.

It is an arithmetic number, because the mean of its divisors is an integer number (3372525).

Almost surely, 2^87164280 is an apocalyptic number.

It is an amenable number.

87164280 is an abundant number, since it is smaller than the sum of its proper divisors (236598120).

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

87164280 is a wasteful number, since it uses less digits than its factorization.

87164280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34613 (or 34606 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87164280 is about 9336.1812321741. The cubic root of 87164280 is about 443.3834881480.

It can be divided in two parts, 8716 and 4280, that added together give a square (12996 = 114²).

The spelling of 87164280 in words is "eighty-seven million, one hundred sixty-four thousand, two hundred eighty".