613427760 has 240 divisors, whose sum is σ = 2280309408. Its totient is φ = 146534400.

The previous prime is 613427713. The next prime is 613427761. The reversal of 613427760 is 67724316.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (613427761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577630 + ... + 578690.

Almost surely, 2^613427760 is an apocalyptic number.

613427760 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 613427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140154704).

613427760 is an abundant number, since it is smaller than the sum of its proper divisors (1666881648).

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

613427760 is a wasteful number, since it uses less digits than its factorization.

613427760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 613427760 is about 24767.4738316204. The cubic root of 613427760 is about 849.6781988307.

The spelling of 613427760 in words is "six hundred thirteen million, four hundred twenty-seven thousand, seven hundred sixty".