613345920 has 256 divisors, whose sum is σ = 2160017280. Its totient is φ = 146800640.

The previous prime is 613345919. The next prime is 613345921. The reversal of 613345920 is 29543316.

It is an interprime number because it is at equal distance from previous prime (613345919) and next prime (613345921).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (613345921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2386432 + ... + 2386688.

Almost surely, 2^613345920 is an apocalyptic number.

613345920 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 613345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080008640).

613345920 is an abundant number, since it is smaller than the sum of its proper divisors (1546671360).

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

613345920 is a wasteful number, since it uses less digits than its factorization.

613345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 613345920 is about 24765.8216096297. The cubic root of 613345920 is about 849.6404107590.

The spelling of 613345920 in words is "six hundred thirteen million, three hundred forty-five thousand, nine hundred twenty".