87358700 has 144 divisors (see below), whose sum is σ = 229672800. Its totient is φ = 28416000.

The previous prime is 87358657. The next prime is 87358717. The reversal of 87358700 is 785378.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 586226 + ... + 586374.

It is an arithmetic number, because the mean of its divisors is an integer number (1594950).

Almost surely, 2^87358700 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 87358700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114836400).

87358700 is an abundant number, since it is smaller than the sum of its proper divisors (142314100).

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

87358700 is a wasteful number, since it uses less digits than its factorization.

87358700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 87358700 is about 9346.5876125996. The cubic root of 87358700 is about 443.7128991001.

The spelling of 87358700 in words is "eighty-seven million, three hundred fifty-eight thousand, seven hundred".