87513024 has 56 divisors (see below), whose sum is σ = 237213648. Its totient is φ = 28456960.

The previous prime is 87513007. The next prime is 87513043. The reversal of 87513024 is 42031578.

It is a junction number, because it is equal to n+sod(n) for n = 87512982 and 87513000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2314 + ... + 13430.

It is an arithmetic number, because the mean of its divisors is an integer number (4235958).

Almost surely, 2^87513024 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 87513024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118606824).

87513024 is an abundant number, since it is smaller than the sum of its proper divisors (149700624).

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

87513024 is a wasteful number, since it uses less digits than its factorization.

87513024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11173 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 87513024 is about 9354.8396031145. The cubic root of 87513024 is about 443.9740265628.

The spelling of 87513024 in words is "eighty-seven million, five hundred thirteen thousand, twenty-four".