613363968 has 216 divisors, whose sum is σ = 2111124960. Its totient is φ = 175150080.

The previous prime is 613363957. The next prime is 613363973. The reversal of 613363968 is 869363316.

613363968 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337783 + ... + 339593.

Almost surely, 2^613363968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055562480).

613363968 is an abundant number, since it is smaller than the sum of its proper divisors (1497760992).

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

613363968 is a wasteful number, since it uses less digits than its factorization.

613363968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1823 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 613363968 is about 24766.1859800818. The cubic root of 613363968 is about 849.6487443705.

The spelling of 613363968 in words is "six hundred thirteen million, three hundred sixty-three thousand, nine hundred sixty-eight".