613690560 has 448 divisors, whose sum is σ = 2526182400. Its totient is φ = 137355264.

The previous prime is 613690537. The next prime is 613690573. The reversal of 613690560 is 65096316.

613690560 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×613690560² = 753232206866227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4414971 + ... + 4415109.

It is an arithmetic number, because the mean of its divisors is an integer number (5638800).

Almost surely, 2^613690560 is an apocalyptic number.

613690560 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 613690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263091200).

613690560 is an abundant number, since it is smaller than the sum of its proper divisors (1912491840).

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

613690560 is a wasteful number, since it uses less digits than its factorization.

613690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 613690560 is about 24772.7786087875. The cubic root of 613690560 is about 849.7995190389.

The spelling of 613690560 in words is "six hundred thirteen million, six hundred ninety thousand, five hundred sixty".