88606720 has 96 divisors (see below), whose sum is σ = 225552600. Its totient is φ = 33292288.

The previous prime is 88606681. The next prime is 88606723. The reversal of 88606720 is 2760688.

It can be written as a sum of positive squares in 4 ways, for example, as 86713344 + 1893376 = 9312^2 + 1376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 88606720.

It is not an unprimeable number, because it can be changed into a prime (88606723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173826 + ... + 174334.

Almost surely, 2^88606720 is an apocalyptic number.

88606720 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 88606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112776300).

88606720 is an abundant number, since it is smaller than the sum of its proper divisors (136945880).

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

88606720 is a wasteful number, since it uses less digits than its factorization.

88606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 88606720 is about 9413.1142561854. The cubic root of 88606720 is about 445.8158999404.

The spelling of 88606720 in words is "eighty-eight million, six hundred six thousand, seven hundred twenty".