660794400 has 324 divisors, whose sum is σ = 2712002202. Its totient is φ = 150958080.

The previous prime is 660794399. The next prime is 660794411. The reversal of 660794400 is 4497066.

660794400 is a `hidden beast` number, since 6 + 607 + 9 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 290770704 + 370023696 = 17052^2 + 19236^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 53 ways as a sum of consecutive naturals, for example, 351864 + ... + 353736.

Almost surely, 2^660794400 is an apocalyptic number.

660794400 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 660794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356001101).

660794400 is an abundant number, since it is smaller than the sum of its proper divisors (2051207802).

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

660794400 is a wasteful number, since it uses less digits than its factorization.

660794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 660794400 is about 25705.9214968069. The cubic root of 660794400 is about 871.0079479117.

The spelling of 660794400 in words is "six hundred sixty million, seven hundred ninety-four thousand, four hundred".