87188976 has 120 divisors (see below), whose sum is σ = 283247744. Its totient is φ = 24520320.

The previous prime is 87188953. The next prime is 87188999. The reversal of 87188976 is 67988178.

It is an interprime number because it is at equal distance from previous prime (87188953) and next prime (87188999).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66891 + ... + 68181.

Almost surely, 2^87188976 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 87188976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141623872).

87188976 is an abundant number, since it is smaller than the sum of its proper divisors (196058768).

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

87188976 is a wasteful number, since it uses less digits than its factorization.

87188976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1370 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 87188976 is about 9337.5037349390. The cubic root of 87188976 is about 443.4253583753.

The spelling of 87188976 in words is "eighty-seven million, one hundred eighty-eight thousand, nine hundred seventy-six".