87313968 has 240 divisors, whose sum is σ = 303313920. Its totient is φ = 22892544.

The previous prime is 87313943. The next prime is 87313973. The reversal of 87313968 is 86931378.

It is a happy number.

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

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 47 ways as a sum of consecutive naturals, for example, 900096 + ... + 900192.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^87313968 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 87313968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151656960).

87313968 is an abundant number, since it is smaller than the sum of its proper divisors (215999952).

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

87313968 is a wasteful number, since it uses less digits than its factorization.

87313968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 87313968 is about 9344.1943472939. The cubic root of 87313968 is about 443.6371518110.

It can be divided in two parts, 873 and 13968, that multiplied together give a square (12194064 = 3492²).

The spelling of 87313968 in words is "eighty-seven million, three hundred thirteen thousand, nine hundred sixty-eight".