613435680 has 480 divisors, whose sum is σ = 2551082688. Its totient is φ = 136857600.

The previous prime is 613435673. The next prime is 613435699. The reversal of 613435680 is 86534316.

613435680 is a `hidden beast` number, since 61 + 34 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1853115 + ... + 1853445.

Almost surely, 2^613435680 is an apocalyptic number.

613435680 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 613435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275541344).

613435680 is an abundant number, since it is smaller than the sum of its proper divisors (1937647008).

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

613435680 is a wasteful number, since it uses less digits than its factorization.

613435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 613435680 is about 24767.6337182219. The cubic root of 613435680 is about 849.6818555625.

Adding to 613435680 its reverse (86534316), we get a palindrome (699969996).

It can be divided in two parts, 6134 and 35680, that added together give a palindrome (41814).

The spelling of 613435680 in words is "six hundred thirteen million, four hundred thirty-five thousand, six hundred eighty".