88647680 has 96 divisors (see below), whose sum is σ = 232333920. Its totient is φ = 32194560.

The previous prime is 88647679. The next prime is 88647683. The reversal of 88647680 is 8674688.

It is a happy number.

It is a super-2 number, since 2×88647680² = 15716822338764800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88647683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112247 + ... + 113033.

It is an arithmetic number, because the mean of its divisors is an integer number (2420145).

Almost surely, 2^88647680 is an apocalyptic number.

88647680 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 88647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116166960).

88647680 is an abundant number, since it is smaller than the sum of its proper divisors (143686240).

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

88647680 is a wasteful number, since it uses less digits than its factorization.

88647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 88647680 is about 9415.2896928347. The cubic root of 88647680 is about 445.8845847468.

The spelling of 88647680 in words is "eighty-eight million, six hundred forty-seven thousand, six hundred eighty".