664190688 has 192 divisors, whose sum is σ = 2124057600. Its totient is φ = 181310976.

The previous prime is 664190687. The next prime is 664190701. The reversal of 664190688 is 886091466.

It is a super-2 number, since 2×664190688² = 882298540051826688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664190687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756906 + ... + 757782.

It is an arithmetic number, because the mean of its divisors is an integer number (11062800).

Almost surely, 2^664190688 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 664190688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062028800).

664190688 is an abundant number, since it is smaller than the sum of its proper divisors (1459866912).

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

664190688 is a wasteful number, since it uses less digits than its factorization.

664190688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 664190688 is about 25771.8972526277. The cubic root of 664190688 is about 872.4976398050.

The spelling of 664190688 in words is "six hundred sixty-four million, one hundred ninety thousand, six hundred eighty-eight".