87491968 has 32 divisors (see below), whose sum is σ = 175386960. Its totient is φ = 43473408.

The previous prime is 87491959. The next prime is 87492007. The reversal of 87491968 is 86919478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19330 + ... + 23422.

Almost surely, 2^87491968 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 87491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87693480).

87491968 is an abundant number, since it is smaller than the sum of its proper divisors (87894992).

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

87491968 is a wasteful number, since it uses less digits than its factorization.

87491968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4262 counting only the distinct ones).

The product of its digits is 870912, while the sum is 52.

The square root of 87491968 is about 9353.7141286229. The cubic root of 87491968 is about 443.9384163700.

The spelling of 87491968 in words is "eighty-seven million, four hundred ninety-one thousand, nine hundred sixty-eight".