87452352 has 224 divisors, whose sum is σ = 294436800. Its totient is φ = 25214976.

The previous prime is 87452329. The next prime is 87452363. The reversal of 87452352 is 25325478.

87452352 is a `hidden beast` number, since 87 + 4 + 523 + 52 = 666.

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

Its product of digits (67200) is a multiple of the sum of its prime factors (280).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381774 + ... + 382002.

It is an arithmetic number, because the mean of its divisors is an integer number (1314450).

Almost surely, 2^87452352 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 87452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147218400).

87452352 is an abundant number, since it is smaller than the sum of its proper divisors (206984448).

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

87452352 is a wasteful number, since it uses less digits than its factorization.

87452352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 87452352 is about 9351.5962273828. The cubic root of 87452352 is about 443.8714017635.

The spelling of 87452352 in words is "eighty-seven million, four hundred fifty-two thousand, three hundred fifty-two".