87338160 has 480 divisors, whose sum is σ = 381308928. Its totient is φ = 17418240.

The previous prime is 87338143. The next prime is 87338179. The reversal of 87338160 is 6183378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031099 + ... + 2031141.

Almost surely, 2^87338160 is an apocalyptic number.

87338160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190654464).

87338160 is an abundant number, since it is smaller than the sum of its proper divisors (293970768).

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

87338160 is a wasteful number, since it uses less digits than its factorization.

87338160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87338160 is about 9345.4887512639. The cubic root of 87338160 is about 443.6781207387.

The spelling of 87338160 in words is "eighty-seven million, three hundred thirty-eight thousand, one hundred sixty".