613989600 has 432 divisors, whose sum is σ = 2436594048. Its totient is φ = 133647360.

The previous prime is 613989589. The next prime is 613989601. The reversal of 613989600 is 6989316.

613989600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613989601) 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, 2704687 + ... + 2704913.

It is an arithmetic number, because the mean of its divisors is an integer number (5640264).

Almost surely, 2^613989600 is an apocalyptic number.

613989600 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 613989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218297024).

613989600 is an abundant number, since it is smaller than the sum of its proper divisors (1822604448).

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

613989600 is a wasteful number, since it uses less digits than its factorization.

613989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 613989600 is about 24778.8135309179. The cubic root of 613989600 is about 849.9375271271.

The spelling of 613989600 in words is "six hundred thirteen million, nine hundred eighty-nine thousand, six hundred".