88864776 has 320 divisors, whose sum is σ = 336631680. Its totient is φ = 21150720.

The previous prime is 88864759. The next prime is 88864799. The reversal of 88864776 is 67746888.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648580 + ... + 648716.

It is an arithmetic number, because the mean of its divisors is an integer number (1051974).

Almost surely, 2^88864776 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 88864776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168315840).

88864776 is an abundant number, since it is smaller than the sum of its proper divisors (247766904).

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

88864776 is a wasteful number, since it uses less digits than its factorization.

88864776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 88864776 is about 9426.8115500417. The cubic root of 88864776 is about 446.2482748327.

The spelling of 88864776 in words is "eighty-eight million, eight hundred sixty-four thousand, seven hundred seventy-six".