87592500 has 180 divisors, whose sum is σ = 294233940. Its totient is φ = 21888000.

The previous prime is 87592493. The next prime is 87592501. The reversal of 87592500 is 529578.

It can be written as a sum of positive squares in 10 ways, for example, as 33039504 + 54552996 = 5748^2 + 7386^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87592501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 382386 + ... + 382614.

It is an arithmetic number, because the mean of its divisors is an integer number (1634633).

Almost surely, 2^87592500 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 87592500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147116970).

87592500 is an abundant number, since it is smaller than the sum of its proper divisors (206641440).

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

87592500 is a wasteful number, since it uses less digits than its factorization.

87592500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 87592500 is about 9359.0864938839. The cubic root of 87592500 is about 444.1083860060.

The spelling of 87592500 in words is "eighty-seven million, five hundred ninety-two thousand, five hundred".