88447968 has 144 divisors (see below), whose sum is σ = 291878496. Its totient is φ = 24883200.

The previous prime is 88447963. The next prime is 88447969. The reversal of 88447968 is 86974488.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88447963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146868 + ... + 147468.

It is an arithmetic number, because the mean of its divisors is an integer number (2026934).

Almost surely, 2^88447968 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 88447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145939248).

88447968 is an abundant number, since it is smaller than the sum of its proper divisors (203430528).

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

88447968 is a wasteful number, since it uses less digits than its factorization.

88447968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 686 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 88447968 is about 9404.6779849179. The cubic root of 88447968 is about 445.5494924741.

The spelling of 88447968 in words is "eighty-eight million, four hundred forty-seven thousand, nine hundred sixty-eight".