88021680 has 160 divisors (see below), whose sum is σ = 291648000. Its totient is φ = 21897216.

The previous prime is 88021673. The next prime is 88021691. The reversal of 88021680 is 8612088.

88021680 is a modest number, since divided by 21680 gives 880 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442221 + ... + 442419.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 2^88021680 is an apocalyptic number.

88021680 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 88021680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824000).

88021680 is an abundant number, since it is smaller than the sum of its proper divisors (203626320).

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

88021680 is a wasteful number, since it uses less digits than its factorization.

88021680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 88021680 is about 9381.9869963670. The cubic root of 88021680 is about 444.8325423028.

The spelling of 88021680 in words is "eighty-eight million, twenty-one thousand, six hundred eighty".