87818976 has 180 divisors, whose sum is σ = 293634432. Its totient is φ = 24893568.

The previous prime is 87818971. The next prime is 87819013. The reversal of 87818976 is 67981878.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87818971) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691425 + ... + 691551.

Almost surely, 2^87818976 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 87818976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146817216).

87818976 is an abundant number, since it is smaller than the sum of its proper divisors (205815456).

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

87818976 is a wasteful number, since it uses less digits than its factorization.

87818976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 139 counting only the distinct ones).

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

The square root of 87818976 is about 9371.1779408994. The cubic root of 87818976 is about 444.4908134584.

The spelling of 87818976 in words is "eighty-seven million, eight hundred eighteen thousand, nine hundred seventy-six".