613745040 has 80 divisors (see below), whose sum is σ = 1914127488. Its totient is φ = 162674688.

The previous prime is 613745039. The next prime is 613745053. The reversal of 613745040 is 40547316.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 613744989 and 613745007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32424 + ... + 47736.

Almost surely, 2^613745040 is an apocalyptic number.

613745040 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 613745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957063744).

613745040 is an abundant number, since it is smaller than the sum of its proper divisors (1300382448).

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

613745040 is a wasteful number, since it uses less digits than its factorization.

613745040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15496 (or 15490 counting only the distinct ones).

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

The square root of 613745040 is about 24773.8781784363. The cubic root of 613745040 is about 849.8246651038.

The spelling of 613745040 in words is "six hundred thirteen million, seven hundred forty-five thousand, forty".