88092880 has 40 divisors (see below), whose sum is σ = 207299232. Its totient is φ = 34809984.

The previous prime is 88092877. The next prime is 88092919. The reversal of 88092880 is 8829088.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 13273.

Almost surely, 2^88092880 is an apocalyptic number.

88092880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88092880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103649616).

88092880 is an abundant number, since it is smaller than the sum of its proper divisors (119206352).

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

88092880 is a wasteful number, since it uses less digits than its factorization.

88092880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13363 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The square root of 88092880 is about 9385.7807347072. The cubic root of 88092880 is about 444.9524504174.

The spelling of 88092880 in words is "eighty-eight million, ninety-two thousand, eight hundred eighty".