87071376 has 160 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 22505472.

The previous prime is 87071293. The next prime is 87071381. The reversal of 87071376 is 67317078.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146536 + ... + 147128.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^87071376 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 87071376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

87071376 is an abundant number, since it is smaller than the sum of its proper divisors (195767664).

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

87071376 is a wasteful number, since it uses less digits than its factorization.

87071376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 87071376 is about 9331.2044238673. The cubic root of 87071376 is about 443.2259054657.

The spelling of 87071376 in words is "eighty-seven million, seventy-one thousand, three hundred seventy-six".