87605700 has 144 divisors (see below), whose sum is σ = 312063360. Its totient is φ = 18478080.

The previous prime is 87605657. The next prime is 87605701. The reversal of 87605700 is 750678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87605701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25696 + ... + 28904.

Almost surely, 2^87605700 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 87605700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156031680).

87605700 is an abundant number, since it is smaller than the sum of its proper divisors (224457660).

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

87605700 is a wasteful number, since it uses less digits than its factorization.

87605700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 87605700 is about 9359.7916643481. The cubic root of 87605700 is about 444.1306936093.

The spelling of 87605700 in words is "eighty-seven million, six hundred five thousand, seven hundred".