613101840 has 320 divisors, whose sum is σ = 2165861376. Its totient is φ = 142442496.

The previous prime is 613101833. The next prime is 613101871. The reversal of 613101840 is 48101316.

It is a super-2 number, since 2×613101840² = 751787732422771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 613101840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5425624 + ... + 5425736.

Almost surely, 2^613101840 is an apocalyptic number.

613101840 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 613101840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082930688).

613101840 is an abundant number, since it is smaller than the sum of its proper divisors (1552759536).

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

613101840 is a wasteful number, since it uses less digits than its factorization.

613101840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 613101840 is about 24760.8933602970. The cubic root of 613101840 is about 849.5276914709.

The spelling of 613101840 in words is "six hundred thirteen million, one hundred one thousand, eight hundred forty".