613657620 has 84 divisors (see below), whose sum is σ = 1932183540. Its totient is φ = 163638144.

The previous prime is 613657613. The next prime is 613657631. The reversal of 613657620 is 26756316.

613657620 is a `hidden beast` number, since 61 + 3 + 6 + 576 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 471237264 + 142420356 = 21708^2 + 11934^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6465 + ... + 35624.

It is an arithmetic number, because the mean of its divisors is an integer number (23002185).

Almost surely, 2^613657620 is an apocalyptic number.

613657620 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 613657620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966091770).

613657620 is an abundant number, since it is smaller than the sum of its proper divisors (1318525920).

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

613657620 is a wasteful number, since it uses less digits than its factorization.

613657620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42116 (or 42099 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 613657620 is about 24772.1137572069. The cubic root of 613657620 is about 849.7843143637.

The spelling of 613657620 in words is "six hundred thirteen million, six hundred fifty-seven thousand, six hundred twenty".