660813120 has 448 divisors, whose sum is σ = 2699308800. Its totient is φ = 150405120.

The previous prime is 660813073. The next prime is 660813133. The reversal of 660813120 is 21318066.

660813120 is a `hidden beast` number, since 6 + 608 + 1 + 31 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615476 + ... + 1615884.

Almost surely, 2^660813120 is an apocalyptic number.

660813120 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 660813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349654400).

660813120 is an abundant number, since it is smaller than the sum of its proper divisors (2038495680).

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

660813120 is a wasteful number, since it uses less digits than its factorization.

660813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 660813120 is about 25706.2856126668. The cubic root of 660813120 is about 871.0161729182.

The spelling of 660813120 in words is "six hundred sixty million, eight hundred thirteen thousand, one hundred twenty".