88677680 has 120 divisors (see below), whose sum is σ = 255421152. Its totient is φ = 28035072.

The previous prime is 88677613. The next prime is 88677707. The reversal of 88677680 is 8677688.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 94172 + ... + 95108.

Almost surely, 2^88677680 is an apocalyptic number.

88677680 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 88677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127710576).

88677680 is an abundant number, since it is smaller than the sum of its proper divisors (166743472).

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

88677680 is a wasteful number, since it uses less digits than its factorization.

88677680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 50.

The square root of 88677680 is about 9416.8827113860. The cubic root of 88677680 is about 445.9348775797.

The spelling of 88677680 in words is "eighty-eight million, six hundred seventy-seven thousand, six hundred eighty".