87295692 has 72 divisors (see below), whose sum is σ = 227908800. Its totient is φ = 25979360.

The previous prime is 87295687. The next prime is 87295699. The reversal of 87295692 is 29659278.

It is not an unprimeable number, because it can be changed into a prime (87295699) 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 23 ways as a sum of consecutive naturals, for example, 85159 + ... + 86177.

It is an arithmetic number, because the mean of its divisors is an integer number (3165400).

Almost surely, 2^87295692 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 87295692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113954400).

87295692 is an abundant number, since it is smaller than the sum of its proper divisors (140613108).

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

87295692 is a wasteful number, since it uses less digits than its factorization.

87295692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1094 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 87295692 is about 9343.2163626880. The cubic root of 87295692 is about 443.6061965563.

The spelling of 87295692 in words is "eighty-seven million, two hundred ninety-five thousand, six hundred ninety-two".