87178560 has 112 divisors (see below), whose sum is σ = 316358016. Its totient is φ = 19924992.

The previous prime is 87178543. The next prime is 87178573. The reversal of 87178560 is 6587178.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 234 + ... + 13206.

Almost surely, 2^87178560 is an apocalyptic number.

87178560 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 87178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158179008).

87178560 is an abundant number, since it is smaller than the sum of its proper divisors (229179456).

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

87178560 is a wasteful number, since it uses less digits than its factorization.

87178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13000 (or 12990 counting only the distinct ones).

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

The square root of 87178560 is about 9336.9459674992. The cubic root of 87178560 is about 443.4076997879.

The spelling of 87178560 in words is "eighty-seven million, one hundred seventy-eight thousand, five hundred sixty".