87934600 has 96 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 31392000.

The previous prime is 87934577. The next prime is 87934621. The reversal of 87934600 is 643978.

It is a self number, because there is not a number n which added to its sum of digits gives 87934600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80055 + ... + 81145.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^87934600 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 87934600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

87934600 is an abundant number, since it is smaller than the sum of its proper divisors (139550840).

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

87934600 is a wasteful number, since it uses less digits than its factorization.

87934600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 87934600 is about 9377.3450400420. The cubic root of 87934600 is about 444.6858027015.

The spelling of 87934600 in words is "eighty-seven million, nine hundred thirty-four thousand, six hundred".