613966080 has 432 divisors, whose sum is σ = 2466241344. Its totient is φ = 129024000.

The previous prime is 613966079. The next prime is 613966081. The reversal of 613966080 is 80669316.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (613966079) and next prime (613966081).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (613966081) 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, 2445955 + ... + 2446205.

It is an arithmetic number, because the mean of its divisors is an integer number (5708892).

Almost surely, 2^613966080 is an apocalyptic number.

613966080 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 613966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233120672).

613966080 is an abundant number, since it is smaller than the sum of its proper divisors (1852275264).

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

613966080 is a wasteful number, since it uses less digits than its factorization.

613966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 613966080 is about 24778.3389273777. The cubic root of 613966080 is about 849.9266741822.

It can be divided in two parts, 61396 and 6080, that added together give a palindrome (67476).

The spelling of 613966080 in words is "six hundred thirteen million, nine hundred sixty-six thousand, eighty".