88806816 has 288 divisors, whose sum is σ = 314496000. Its totient is φ = 23708160.

The previous prime is 88806799. The next prime is 88806857. The reversal of 88806816 is 61860888.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 2864721 + ... + 2864751.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 2^88806816 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 88806816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

88806816 is an abundant number, since it is smaller than the sum of its proper divisors (225689184).

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

88806816 is a wasteful number, since it uses less digits than its factorization.

88806816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 88806816 is about 9423.7368384309. The cubic root of 88806816 is about 446.1512353517.

The spelling of 88806816 in words is "eighty-eight million, eight hundred six thousand, eight hundred sixteen".