87180984 has 72 divisors (see below), whose sum is σ = 259557480. Its totient is φ = 26415840.

The previous prime is 87180967. The next prime is 87180997. The reversal of 87180984 is 48908178.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3709 + ... + 13715.

It is an arithmetic number, because the mean of its divisors is an integer number (3604965).

Almost surely, 2^87180984 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 87180984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129778740).

87180984 is an abundant number, since it is smaller than the sum of its proper divisors (172376496).

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

87180984 is a wasteful number, since it uses less digits than its factorization.

87180984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10041 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 87180984 is about 9337.0757734957. The cubic root of 87180984 is about 443.4118094004.

The spelling of 87180984 in words is "eighty-seven million, one hundred eighty thousand, nine hundred eighty-four".