87560352 has 240 divisors, whose sum is σ = 291991392. Its totient is φ = 25505280.

The previous prime is 87560339. The next prime is 87560359. The reversal of 87560352 is 25306578.

87560352 = 103³ + 104³ + ... + 146³.

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

It is not an unprimeable number, because it can be changed into a prime (87560359) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1054903 + ... + 1054985.

Almost surely, 2^87560352 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 87560352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145995696).

87560352 is an abundant number, since it is smaller than the sum of its proper divisors (204431040).

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

87560352 is a wasteful number, since it uses less digits than its factorization.

87560352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 87560352 is about 9357.3688609566. The cubic root of 87560352 is about 444.0540474747.

The spelling of 87560352 in words is "eighty-seven million, five hundred sixty thousand, three hundred fifty-two".