613440000 has 400 divisors, whose sum is σ = 2301013440. Its totient is φ = 161280000.

The previous prime is 613439999. The next prime is 613440001. The reversal of 613440000 is 44316.

It is an interprime number because it is at equal distance from previous prime (613439999) and next prime (613440001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613440001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639965 + ... + 8640035.

Almost surely, 2^613440000 is an apocalyptic number.

613440000 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 613440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150506720).

613440000 is an abundant number, since it is smaller than the sum of its proper divisors (1687573440).

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

613440000 is an frugal number, since it uses more digits than its factorization.

613440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 613440000 is about 24767.7209286604. The cubic root of 613440000 is about 849.6838501302.

Adding to 613440000 its reverse (44316), we get a palindrome (613484316).

The spelling of 613440000 in words is "six hundred thirteen million, four hundred forty thousand".