87398160 has 160 divisors (see below), whose sum is σ = 287981568. Its totient is φ = 21880320.

The previous prime is 87398149. The next prime is 87398161. The reversal of 87398160 is 6189378.

It is not an unprimeable number, because it can be changed into a prime (87398161) 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, 391809 + ... + 392031.

Almost surely, 2^87398160 is an apocalyptic number.

87398160 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 87398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

87398160 is an abundant number, since it is smaller than the sum of its proper divisors (200583408).

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

87398160 is a wasteful number, since it uses less digits than its factorization.

87398160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 87398160 is about 9348.6983051118. The cubic root of 87398160 is about 443.7796975430.

The spelling of 87398160 in words is "eighty-seven million, three hundred ninety-eight thousand, one hundred sixty".