87624352 has 48 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 40158720.

The previous prime is 87624347. The next prime is 87624353. The reversal of 87624352 is 25342678.

It is not an unprimeable number, because it can be changed into a prime (87624353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16524 + ... + 21172.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2^87624352 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 87624352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

87624352 is an abundant number, since it is smaller than the sum of its proper divisors (99863648).

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

87624352 is a wasteful number, since it uses less digits than its factorization.

87624352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4701 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 87624352 is about 9360.7880010179. The cubic root of 87624352 is about 444.1622111090.

The spelling of 87624352 in words is "eighty-seven million, six hundred twenty-four thousand, three hundred fifty-two".