87631776 has 72 divisors (see below), whose sum is σ = 251134884. Its totient is φ = 28984320.

The previous prime is 87631763. The next prime is 87631811. The reversal of 87631776 is 67713678.

It is a happy number.

87631776 is a `hidden beast` number, since 8 + 7 + 631 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86044176 + 1587600 = 9276^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38346 + ... + 40566.

Almost surely, 2^87631776 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 87631776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125567442).

87631776 is an abundant number, since it is smaller than the sum of its proper divisors (163503108).

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

87631776 is a wasteful number, since it uses less digits than its factorization.

87631776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2363 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 87631776 is about 9361.1845404308. The cubic root of 87631776 is about 444.1747546811.

The spelling of 87631776 in words is "eighty-seven million, six hundred thirty-one thousand, seven hundred seventy-six".