613416960 has 252 divisors, whose sum is σ = 2290088892. Its totient is φ = 150994944.

The previous prime is 613416953. The next prime is 613416977. The reversal of 613416960 is 69614316.

It can be written as a sum of positive squares in 2 ways, for example, as 150994944 + 462422016 = 12288^2 + 21504^2 .

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

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47185914 + ... + 47185926.

Almost surely, 2^613416960 is an apocalyptic number.

613416960 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 613416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145044446).

613416960 is an abundant number, since it is smaller than the sum of its proper divisors (1676671932).

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

613416960 is an frugal number, since it uses more digits than its factorization.

613416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 613416960 is about 24767.2558027731. The cubic root of 613416960 is about 849.6732123275.

The spelling of 613416960 in words is "six hundred thirteen million, four hundred sixteen thousand, nine hundred sixty".