87122880 has 252 divisors, whose sum is σ = 326303640. Its totient is φ = 21325824.

The previous prime is 87122869. The next prime is 87122891. The reversal of 87122880 is 8822178.

It is an interprime number because it is at equal distance from previous prime (87122869) and next prime (87122891).

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 35 ways as a sum of consecutive naturals, for example, 486631 + ... + 486809.

Almost surely, 2^87122880 is an apocalyptic number.

87122880 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 87122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163151820).

87122880 is an abundant number, since it is smaller than the sum of its proper divisors (239180760).

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

87122880 is a wasteful number, since it uses less digits than its factorization.

87122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 87122880 is about 9333.9637882306. The cubic root of 87122880 is about 443.3132797884.

The spelling of 87122880 in words is "eighty-seven million, one hundred twenty-two thousand, eight hundred eighty".