87627792 has 240 divisors, whose sum is σ = 296231040. Its totient is φ = 21762048.

The previous prime is 87627779. The next prime is 87627817. The reversal of 87627792 is 29772678.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3021634 + ... + 3021662.

It is an arithmetic number, because the mean of its divisors is an integer number (1234296).

Almost surely, 2^87627792 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 87627792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148115520).

87627792 is an abundant number, since it is smaller than the sum of its proper divisors (208603248).

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

87627792 is a wasteful number, since it uses less digits than its factorization.

87627792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 81 counting only the distinct ones).

The product of its digits is 592704, while the sum is 48.

The square root of 87627792 is about 9360.9717444291. The cubic root of 87627792 is about 444.1680234126.

The spelling of 87627792 in words is "eighty-seven million, six hundred twenty-seven thousand, seven hundred ninety-two".