87258600 has 384 divisors, whose sum is σ = 356227200. Its totient is φ = 19353600.

The previous prime is 87258557. The next prime is 87258641. The reversal of 87258600 is 685278.

87258600 is a `hidden beast` number, since 8 + 72 + 586 + 0 + 0 = 666.

It is a super-2 number, since 2×87258600² = 15228126547920000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772144 + ... + 772256.

It is an arithmetic number, because the mean of its divisors is an integer number (927675).

Almost surely, 2^87258600 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 87258600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

87258600 is an abundant number, since it is smaller than the sum of its proper divisors (268968600).

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

87258600 is a wasteful number, since it uses less digits than its factorization.

87258600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87258600 is about 9341.2311822372. The cubic root of 87258600 is about 443.5433581287.

The spelling of 87258600 in words is "eighty-seven million, two hundred fifty-eight thousand, six hundred".