613997280 has 432 divisors, whose sum is σ = 2410022160. Its totient is φ = 145926144.

The previous prime is 613997261. The next prime is 613997287. The reversal of 613997280 is 82799316.

613997280 is a `hidden beast` number, since 613 + 9 + 9 + 7 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613997287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21172306 + ... + 21172334.

It is an arithmetic number, because the mean of its divisors is an integer number (5578755).

Almost surely, 2^613997280 is an apocalyptic number.

613997280 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 613997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205011080).

613997280 is an abundant number, since it is smaller than the sum of its proper divisors (1796024880).

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

613997280 is a wasteful number, since it uses less digits than its factorization.

613997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 613997280 is about 24778.9685015337. The cubic root of 613997280 is about 849.9410708858.

The spelling of 613997280 in words is "six hundred thirteen million, nine hundred ninety-seven thousand, two hundred eighty".