613379520 has 448 divisors, whose sum is σ = 2403287040. Its totient is φ = 146313216.

The previous prime is 613379471. The next prime is 613379521. The reversal of 613379520 is 25973316.

613379520 is a `hidden beast` number, since 61 + 3 + 3 + 79 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613379521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4829697 + ... + 4829823.

It is an arithmetic number, because the mean of its divisors is an integer number (5364480).

Almost surely, 2^613379520 is an apocalyptic number.

613379520 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 613379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201643520).

613379520 is an abundant number, since it is smaller than the sum of its proper divisors (1789907520).

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

613379520 is a wasteful number, since it uses less digits than its factorization.

613379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 613379520 is about 24766.4999545757. The cubic root of 613379520 is about 849.6559253301.

The spelling of 613379520 in words is "six hundred thirteen million, three hundred seventy-nine thousand, five hundred twenty".