87190992 has 150 divisors (see below), whose sum is σ = 293770818. Its totient is φ = 24893568.

The previous prime is 87190979. The next prime is 87190997. The reversal of 87190992 is 29909178.

It can be written as a sum of positive squares in only one way, i.e., 86936976 + 254016 = 9324^2 + 504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87190997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62818 + ... + 64190.

Almost surely, 2^87190992 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 87190992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146885409).

87190992 is an abundant number, since it is smaller than the sum of its proper divisors (206579826).

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

87190992 is a wasteful number, since it uses less digits than its factorization.

87190992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 87190992 is about 9337.6116860790. The cubic root of 87190992 is about 443.4287760040.

The spelling of 87190992 in words is "eighty-seven million, one hundred ninety thousand, nine hundred ninety-two".