87617592 has 128 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 27108864.

The previous prime is 87617567. The next prime is 87617597. The reversal of 87617592 is 29571678.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87617597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392793 + ... + 393015.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^87617592 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 87617592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

87617592 is an abundant number, since it is smaller than the sum of its proper divisors (173656008).

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

87617592 is a wasteful number, since it uses less digits than its factorization.

87617592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 87617592 is about 9360.4269133411. The cubic root of 87617592 is about 444.1507888134.

It can be divided in two parts, 87617 and 592, that added together give a square (88209 = 297²).

The spelling of 87617592 in words is "eighty-seven million, six hundred seventeen thousand, five hundred ninety-two".