664515000 has 120 divisors (see below), whose sum is σ = 2249092560. Its totient is φ = 177192000.

The previous prime is 664514957. The next prime is 664515001. The reversal of 664515000 is 515466.

It is a happy number.

664515000 is a `hidden beast` number, since 6 + 645 + 15 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664515001) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 37617 + ... + 52383.

It is an arithmetic number, because the mean of its divisors is an integer number (18742438).

Almost surely, 2^664515000 is an apocalyptic number.

664515000 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 664515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124546280).

664515000 is an abundant number, since it is smaller than the sum of its proper divisors (1584577560).

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

664515000 is a wasteful number, since it uses less digits than its factorization.

664515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14799 (or 14777 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 664515000 is about 25778.1884545831. The cubic root of 664515000 is about 872.6396248389.

The spelling of 664515000 in words is "six hundred sixty-four million, five hundred fifteen thousand".