664962144 has 288 divisors, whose sum is σ = 2258710272. Its totient is φ = 169344000.

The previous prime is 664962143. The next prime is 664962161. The reversal of 664962144 is 441269466.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 664962096 and 664962105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664962143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3673734 + ... + 3673914.

It is an arithmetic number, because the mean of its divisors is an integer number (7842744).

Almost surely, 2^664962144 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 664962144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129355136).

664962144 is an abundant number, since it is smaller than the sum of its proper divisors (1593748128).

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

664962144 is a wasteful number, since it uses less digits than its factorization.

664962144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 664962144 is about 25786.8599096517. The cubic root of 664962144 is about 872.8353104572.

The spelling of 664962144 in words is "six hundred sixty-four million, nine hundred sixty-two thousand, one hundred forty-four".