612660720 has 240 divisors, whose sum is σ = 2249320320. Its totient is φ = 137507328.

The previous prime is 612660679. The next prime is 612660743. The reversal of 612660720 is 27066216.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 693399 + ... + 694281.

It is an arithmetic number, because the mean of its divisors is an integer number (9372168).

Almost surely, 2^612660720 is an apocalyptic number.

612660720 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 612660720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124660160).

612660720 is an abundant number, since it is smaller than the sum of its proper divisors (1636659600).

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

612660720 is a wasteful number, since it uses less digits than its factorization.

612660720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 612660720 is about 24751.9841628909. The cubic root of 612660720 is about 849.3239006587.

The spelling of 612660720 in words is "six hundred twelve million, six hundred sixty thousand, seven hundred twenty".