87892120 has 32 divisors (see below), whose sum is σ = 199098000. Its totient is φ = 34918528.

The previous prime is 87892087. The next prime is 87892121. The reversal of 87892120 is 2129878.

It is a self number, because there is not a number n which added to its sum of digits gives 87892120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87892121) 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 7 ways as a sum of consecutive naturals, for example, 1414 + ... + 13333.

Almost surely, 2^87892120 is an apocalyptic number.

It is an amenable number.

87892120 is an abundant number, since it is smaller than the sum of its proper divisors (111205880).

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

87892120 is a wasteful number, since it uses less digits than its factorization.

87892120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14907 (or 14903 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 87892120 is about 9375.0797329943. The cubic root of 87892120 is about 444.6141839622.

The spelling of 87892120 in words is "eighty-seven million, eight hundred ninety-two thousand, one hundred twenty".