87601608 has 64 divisors (see below), whose sum is σ = 248544000. Its totient is φ = 28575936.

The previous prime is 87601597. The next prime is 87601639. The reversal of 87601608 is 80610678.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5838 + ... + 14466.

It is an arithmetic number, because the mean of its divisors is an integer number (3883500).

Almost surely, 2^87601608 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 87601608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124272000).

87601608 is an abundant number, since it is smaller than the sum of its proper divisors (160942392).

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

87601608 is a wasteful number, since it uses less digits than its factorization.

87601608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8691 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87601608 is about 9359.5730671863. The cubic root of 87601608 is about 444.1237784920.

It can be divided in two parts, 87601 and 608, that added together give a square (88209 = 297²).

The spelling of 87601608 in words is "eighty-seven million, six hundred one thousand, six hundred eight".