87353360 has 20 divisors (see below), whose sum is σ = 203096748. Its totient is φ = 34941312.

The previous prime is 87353351. The next prime is 87353389. The reversal of 87353360 is 6335378.

It can be written as a sum of positive squares in 2 ways, for example, as 24880144 + 62473216 = 4988^2 + 7904^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87353360.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 545879 + ... + 546038.

Almost surely, 2^87353360 is an apocalyptic number.

87353360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87353360 is an abundant number, since it is smaller than the sum of its proper divisors (115743388).

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

87353360 is a wasteful number, since it uses less digits than its factorization.

87353360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091930 (or 1091924 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 87353360 is about 9346.3019424797. The cubic root of 87353360 is about 443.7038579279.

The spelling of 87353360 in words is "eighty-seven million, three hundred fifty-three thousand, three hundred sixty".