613475040 has 192 divisors, whose sum is σ = 2053175040. Its totient is φ = 153538560.

The previous prime is 613475029. The next prime is 613475047. The reversal of 613475040 is 40574316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 613474989 and 613475007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613475047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249195 + ... + 1249685.

It is an arithmetic number, because the mean of its divisors is an integer number (10693620).

Almost surely, 2^613475040 is an apocalyptic number.

613475040 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 613475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026587520).

613475040 is an abundant number, since it is smaller than the sum of its proper divisors (1439700000).

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

613475040 is a wasteful number, since it uses less digits than its factorization.

613475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 613475040 is about 24768.4282908706. The cubic root of 613475040 is about 849.7000279445.

The spelling of 613475040 in words is "six hundred thirteen million, four hundred seventy-five thousand, forty".