664107600 has 120 divisors (see below), whose sum is σ = 2291054752. Its totient is φ = 163468800.

The previous prime is 664107581. The next prime is 664107607. The reversal of 664107600 is 6701466.

664107600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664107607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5686 + ... + 36885.

Almost surely, 2^664107600 is an apocalyptic number.

664107600 is a gapful number since it is divisible by the number (60) 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 664107600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145527376).

664107600 is an abundant number, since it is smaller than the sum of its proper divisors (1626947152).

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

664107600 is a wasteful number, since it uses less digits than its factorization.

664107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42605 (or 42594 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 664107600 is about 25770.2852137884. The cubic root of 664107600 is about 872.4612561237.

The spelling of 664107600 in words is "six hundred sixty-four million, one hundred seven thousand, six hundred".