87135792 has 60 divisors (see below), whose sum is σ = 232719480. Its totient is φ = 28093440.

The previous prime is 87135773. The next prime is 87135803. The reversal of 87135792 is 29753178.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45184 + ... + 47072.

It is an arithmetic number, because the mean of its divisors is an integer number (3878658).

Almost surely, 2^87135792 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 87135792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116359740).

87135792 is an abundant number, since it is smaller than the sum of its proper divisors (145583688).

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

87135792 is a wasteful number, since it uses less digits than its factorization.

87135792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1925 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 87135792 is about 9334.6554301699. The cubic root of 87135792 is about 443.3351790427.

It can be divided in two parts, 871 and 35792, that added together give a palindrome (36663).

The spelling of 87135792 in words is "eighty-seven million, one hundred thirty-five thousand, seven hundred ninety-two".