87512832 has 144 divisors (see below), whose sum is σ = 282562560. Its totient is φ = 26496000.

The previous prime is 87512809. The next prime is 87512833. The reversal of 87512832 is 23821578.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87512833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75457 + ... + 76607.

It is an arithmetic number, because the mean of its divisors is an integer number (1962240).

Almost surely, 2^87512832 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 87512832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141281280).

87512832 is an abundant number, since it is smaller than the sum of its proper divisors (195049728).

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

87512832 is a wasteful number, since it uses less digits than its factorization.

87512832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1167 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 87512832 is about 9354.8293410409. The cubic root of 87512832 is about 443.9737018756.

The spelling of 87512832 in words is "eighty-seven million, five hundred twelve thousand, eight hundred thirty-two".