664131104 has 144 divisors (see below), whose sum is σ = 1692423936. Its totient is φ = 254016000.

The previous prime is 664131101. The next prime is 664131109. The reversal of 664131104 is 401131466.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (664131101) 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, 631379 + ... + 632429.

It is an arithmetic number, because the mean of its divisors is an integer number (11752944).

Almost surely, 2^664131104 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 664131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846211968).

664131104 is an abundant number, since it is smaller than the sum of its proper divisors (1028292832).

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

664131104 is a wasteful number, since it uses less digits than its factorization.

664131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 664131104 is about 25770.7412388546. The cubic root of 664131104 is about 872.4715486764.

The spelling of 664131104 in words is "six hundred sixty-four million, one hundred thirty-one thousand, one hundred four".