87514112 has 88 divisors (see below), whose sum is σ = 207320160. Its totient is φ = 36126720.

The previous prime is 87514111. The next prime is 87514117. The reversal of 87514112 is 21141578.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87514111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207662 + ... + 208082.

Almost surely, 2^87514112 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 87514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103660080).

87514112 is an abundant number, since it is smaller than the sum of its proper divisors (119806048).

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

87514112 is a wasteful number, since it uses less digits than its factorization.

87514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its digits is 2240, while the sum is 29.

The square root of 87514112 is about 9354.8977546524. The cubic root of 87514112 is about 443.9758664479.

The spelling of 87514112 in words is "eighty-seven million, five hundred fourteen thousand, one hundred twelve".