87310336 has 45 divisors (see below), whose sum is σ = 177040101. Its totient is φ = 43057152.

The previous prime is 87310331. The next prime is 87310357. The reversal of 87310336 is 63301378.

The square root of 87310336 is 9344.

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

It can be written as a sum of positive squares in only one way, i.e., 49561600 + 37748736 = 7040^2 + 6144^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87310298 and 87310307.

It is not an unprimeable number, because it can be changed into a prime (87310331) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1195996 + ... + 1196068.

Almost surely, 2^87310336 is an apocalyptic number.

87310336 is the 9344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87310336

87310336 is an abundant number, since it is smaller than the sum of its proper divisors (89729765).

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

87310336 is an frugal number, since it uses more digits than its factorization.

87310336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The cubic root of 87310336 is about 443.6310003994.

The spelling of 87310336 in words is "eighty-seven million, three hundred ten thousand, three hundred thirty-six".