88949664 has 192 divisors, whose sum is σ = 277724160. Its totient is φ = 27993600.

The previous prime is 88949561. The next prime is 88949687. The reversal of 88949664 is 46694988.

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 a self number, because there is not a number n which added to its sum of digits gives 88949664.

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 31 ways as a sum of consecutive naturals, for example, 2169484 + ... + 2169524.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 2^88949664 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 88949664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

88949664 is an abundant number, since it is smaller than the sum of its proper divisors (188774496).

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

88949664 is an equidigital number, since it uses as much as digits as its factorization.

88949664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 88949664 is about 9431.3129520762. The cubic root of 88949664 is about 446.3903223708.

The spelling of 88949664 in words is "eighty-eight million, nine hundred forty-nine thousand, six hundred sixty-four".