87609024 has 168 divisors, whose sum is σ = 278160480. Its totient is φ = 26222592.

The previous prime is 87609023. The next prime is 87609031. The reversal of 87609024 is 42090678.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87609024.

It is not an unprimeable number, because it can be changed into a prime (87609023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225022 + ... + 225410.

Almost surely, 2^87609024 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 87609024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139080240).

87609024 is an abundant number, since it is smaller than the sum of its proper divisors (190551456).

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

87609024 is a wasteful number, since it uses less digits than its factorization.

87609024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87609024 is about 9359.9692307187. The cubic root of 87609024 is about 444.1363107163.

The spelling of 87609024 in words is "eighty-seven million, six hundred nine thousand, twenty-four".