613014720 has 224 divisors, whose sum is σ = 2018995200. Its totient is φ = 157507584.

The previous prime is 613014719. The next prime is 613014733. The reversal of 613014720 is 27410316.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4474492 + ... + 4474628.

Almost surely, 2^613014720 is an apocalyptic number.

613014720 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 613014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009497600).

613014720 is an abundant number, since it is smaller than the sum of its proper divisors (1405980480).

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

613014720 is a wasteful number, since it uses less digits than its factorization.

613014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 613014720 is about 24759.1340720955. The cubic root of 613014720 is about 849.4874510881.

The spelling of 613014720 in words is "six hundred thirteen million, fourteen thousand, seven hundred twenty".