87216264976 has 135 divisors (see below), whose sum is σ = 185615561343. Its totient is φ = 39691545600.

The previous prime is 87216264973. The next prime is 87216264979. The reversal of 87216264976 is 67946261278.

It is a happy number.

The square root of 87216264976 is 295324.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (87216264973) and next prime (87216264979).

It can be written as a sum of positive squares in 4 ways, for example, as 51938410000 + 35277854976 = 227900^2 + 187824^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 87216264976.

It is not an unprimeable number, because it can be changed into a prime (87216264973) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 863527326 + ... + 863527426.

Almost surely, 2^87216264976 is an apocalyptic number.

87216264976 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

87216264976 is the 295324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87216264976

87216264976 is an abundant number, since it is smaller than the sum of its proper divisors (98399296367).

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

87216264976 is a wasteful number, since it uses less digits than its factorization.

87216264976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 163 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 58.

The spelling of 87216264976 in words is "eighty-seven billion, two hundred sixteen million, two hundred sixty-four thousand, nine hundred seventy-six".