88577664 has 128 divisors (see below), whose sum is σ = 277831680. Its totient is φ = 24468480.

The previous prime is 88577653. The next prime is 88577711. The reversal of 88577664 is 46677588.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 82797 + ... + 83859.

It is an arithmetic number, because the mean of its divisors is an integer number (2170560).

Almost surely, 2^88577664 is an apocalyptic number.

88577664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138915840).

88577664 is an abundant number, since it is smaller than the sum of its proper divisors (189254016).

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

88577664 is a wasteful number, since it uses less digits than its factorization.

88577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1106 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 88577664 is about 9411.5707509427. The cubic root of 88577664 is about 445.7671638213.

The spelling of 88577664 in words is "eighty-eight million, five hundred seventy-seven thousand, six hundred sixty-four".