664114000 has 80 divisors (see below), whose sum is σ = 1751870016. Its totient is φ = 241488000.

The previous prime is 664113991. The next prime is 664114021. The reversal of 664114000 is 411466.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6907 + ... + 37093.

Almost surely, 2^664114000 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 664114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875935008).

664114000 is an abundant number, since it is smaller than the sum of its proper divisors (1087756016).

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

664114000 is a wasteful number, since it uses less digits than its factorization.

664114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30221 (or 30205 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 664114000 is about 25770.4093875126. The cubic root of 664114000 is about 872.4640587489.

Adding to 664114000 its reverse (411466), we get a palindrome (664525466).

The spelling of 664114000 in words is "six hundred sixty-four million, one hundred fourteen thousand".