613653040 has 320 divisors, whose sum is σ = 1959874560. Its totient is φ = 172523520.

The previous prime is 613653031. The next prime is 613653049. The reversal of 613653040 is 40356316.

It is an interprime number because it is at equal distance from previous prime (613653031) and next prime (613653049).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (613653049) 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, 6326272 + ... + 6326368.

It is an arithmetic number, because the mean of its divisors is an integer number (6124608).

Almost surely, 2^613653040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979937280).

613653040 is an abundant number, since it is smaller than the sum of its proper divisors (1346221520).

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

613653040 is a wasteful number, since it uses less digits than its factorization.

613653040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 613653040 is about 24772.0213143780. The cubic root of 613653040 is about 849.7822002522.

The spelling of 613653040 in words is "six hundred thirteen million, six hundred fifty-three thousand, forty".