87185760 has 96 divisors (see below), whose sum is σ = 278836992. Its totient is φ = 22894080.

The previous prime is 87185759. The next prime is 87185771. The reversal of 87185760 is 6758178.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 30805 + ... + 33515.

It is an arithmetic number, because the mean of its divisors is an integer number (2904552).

Almost surely, 2^87185760 is an apocalyptic number.

87185760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87185760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139418496).

87185760 is an abundant number, since it is smaller than the sum of its proper divisors (191651232).

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

87185760 is a wasteful number, since it uses less digits than its factorization.

87185760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 87185760 is about 9337.3315245845. The cubic root of 87185760 is about 443.4199063348.

The spelling of 87185760 in words is "eighty-seven million, one hundred eighty-five thousand, seven hundred sixty".