87630816 has 144 divisors (see below), whose sum is σ = 288371664. Its totient is φ = 23095296.

The previous prime is 87630791. The next prime is 87630839. The reversal of 87630816 is 61803678.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60436 + ... + 61868.

It is an arithmetic number, because the mean of its divisors is an integer number (2002581).

Almost surely, 2^87630816 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 87630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144185832).

87630816 is an abundant number, since it is smaller than the sum of its proper divisors (200740848).

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

87630816 is a wasteful number, since it uses less digits than its factorization.

87630816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 87630816 is about 9361.1332647282. The cubic root of 87630816 is about 444.1731327074.

The spelling of 87630816 in words is "eighty-seven million, six hundred thirty thousand, eight hundred sixteen".