87032880 has 360 divisors, whose sum is σ = 342176016. Its totient is φ = 20528640.

The previous prime is 87032879. The next prime is 87032893. The reversal of 87032880 is 8823078.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2352222 + ... + 2352258.

Almost surely, 2^87032880 is an apocalyptic number.

87032880 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 87032880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171088008).

87032880 is an abundant number, since it is smaller than the sum of its proper divisors (255143136).

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

87032880 is a wasteful number, since it uses less digits than its factorization.

87032880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

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

The square root of 87032880 is about 9329.1414395967. The cubic root of 87032880 is about 443.1605761524.

The spelling of 87032880 in words is "eighty-seven million, thirty-two thousand, eight hundred eighty".