88456680 has 192 divisors, whose sum is σ = 317837520. Its totient is φ = 21196800.

The previous prime is 88456673. The next prime is 88456703. The reversal of 88456680 is 8665488.

88456680 is a `hidden beast` number, since 8 + 8 + 4 + 566 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1855044 + 86601636 = 1362^2 + 9306^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191650 + ... + 192110.

Almost surely, 2^88456680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158918760).

88456680 is an abundant number, since it is smaller than the sum of its proper divisors (229380840).

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

88456680 is a wasteful number, since it uses less digits than its factorization.

88456680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 88456680 is about 9405.1411472662. The cubic root of 88456680 is about 445.5641206592.

The spelling of 88456680 in words is "eighty-eight million, four hundred fifty-six thousand, six hundred eighty".