88049664 has 144 divisors (see below), whose sum is σ = 270220860. Its totient is φ = 27525120.

The previous prime is 88049573. The next prime is 88049669. The reversal of 88049664 is 46694088.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83174400 + 4875264 = 9120^2 + 2208^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88049669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313204 + ... + 313484.

Almost surely, 2^88049664 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 88049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135110430).

88049664 is an abundant number, since it is smaller than the sum of its proper divisors (182171196).

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

88049664 is a wasteful number, since it uses less digits than its factorization.

88049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 88049664 is about 9383.4782463647. The cubic root of 88049664 is about 444.8796779437.

The spelling of 88049664 in words is "eighty-eight million, forty-nine thousand, six hundred sixty-four".