660834720 has 576 divisors, whose sum is σ = 2917797120. Its totient is φ = 136028160.

The previous prime is 660834703. The next prime is 660834731. The reversal of 660834720 is 27438066.

660834720 is a `hidden beast` number, since 6 + 608 + 3 + 47 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 16117900 + ... + 16117940.

It is an arithmetic number, because the mean of its divisors is an integer number (5065620).

Almost surely, 2^660834720 is an apocalyptic number.

660834720 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 660834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458898560).

660834720 is an abundant number, since it is smaller than the sum of its proper divisors (2256962400).

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

660834720 is a wasteful number, since it uses less digits than its factorization.

660834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 660834720 is about 25706.7057399426. The cubic root of 660834720 is about 871.0256631174.

It can be divided in two parts, 6608 and 34720, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 660834720 in words is "six hundred sixty million, eight hundred thirty-four thousand, seven hundred twenty".