88961680 has 40 divisors (see below), whose sum is σ = 219006072. Its totient is φ = 33490944.

The previous prime is 88961671. The next prime is 88961689. The reversal of 88961680 is 8616988.

It is an interprime number because it is at equal distance from previous prime (88961671) and next prime (88961689).

It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 78925456 = 3168^2 + 8884^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 88961680.

It is not an unprimeable number, because it can be changed into a prime (88961689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31347 + ... + 34066.

Almost surely, 2^88961680 is an apocalyptic number.

88961680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88961680 is an abundant number, since it is smaller than the sum of its proper divisors (130044392).

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

88961680 is a wasteful number, since it uses less digits than its factorization.

88961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65443 (or 65437 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 88961680 is about 9431.9499574584. The cubic root of 88961680 is about 446.4104220705.

The spelling of 88961680 in words is "eighty-eight million, nine hundred sixty-one thousand, six hundred eighty".