664251000 has 256 divisors, whose sum is σ = 2422517760. Its totient is φ = 148377600.

The previous prime is 664250989. The next prime is 664251019. The reversal of 664251000 is 152466.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 986664 + ... + 987336.

It is an arithmetic number, because the mean of its divisors is an integer number (9462960).

Almost surely, 2^664251000 is an apocalyptic number.

664251000 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 664251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211258880).

664251000 is an abundant number, since it is smaller than the sum of its proper divisors (1758266760).

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

664251000 is a wasteful number, since it uses less digits than its factorization.

664251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 664251000 is about 25773.0673378238. The cubic root of 664251000 is about 872.5240481271.

The spelling of 664251000 in words is "six hundred sixty-four million, two hundred fifty-one thousand".