87257250 has 160 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 22356000.

The previous prime is 87257237. The next prime is 87257257. The reversal of 87257250 is 5275278.

87257250 is a `hidden beast` number, since 87 + 2 + 572 + 5 + 0 = 666.

It is a super-2 number, since 2×87257250² = 15227655355125000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87257257) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 627681 + ... + 627819.

It is an arithmetic number, because the mean of its divisors is an integer number (1585584).

Almost surely, 2^87257250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87257250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846720).

87257250 is an abundant number, since it is smaller than the sum of its proper divisors (166436190).

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

87257250 is a wasteful number, since it uses less digits than its factorization.

87257250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 87257250 is about 9341.1589216756. The cubic root of 87257250 is about 443.5410707262.

The spelling of 87257250 in words is "eighty-seven million, two hundred fifty-seven thousand, two hundred fifty".