87533160 has 128 divisors (see below), whose sum is σ = 308568960. Its totient is φ = 19584000.

The previous prime is 87533143. The next prime is 87533161. The reversal of 87533160 is 6133578.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (87533161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14610 + ... + 19710.

It is an arithmetic number, because the mean of its divisors is an integer number (2410695).

Almost surely, 2^87533160 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 87533160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154284480).

87533160 is an abundant number, since it is smaller than the sum of its proper divisors (221035800).

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

87533160 is a wasteful number, since it uses less digits than its factorization.

87533160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 87533160 is about 9355.9157755935. The cubic root of 87533160 is about 444.0080754963.

The spelling of 87533160 in words is "eighty-seven million, five hundred thirty-three thousand, one hundred sixty".