613600400 has 60 divisors (see below), whose sum is σ = 1684779072. Its totient is φ = 210376320.

The previous prime is 613600321. The next prime is 613600423. The reversal of 613600400 is 4006316.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106772 + ... + 112371.

Almost surely, 2^613600400 is an apocalyptic number.

It is an amenable number.

613600400 is an abundant number, since it is smaller than the sum of its proper divisors (1071178672).

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

613600400 is a wasteful number, since it uses less digits than its factorization.

613600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219168 (or 219157 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 613600400 is about 24770.9588025979. The cubic root of 613600400 is about 849.7579010629.

Adding to 613600400 its reverse (4006316), we get a palindrome (617606716).

The spelling of 613600400 in words is "six hundred thirteen million, six hundred thousand, four hundred".