613200 has 120 divisors (see below), whose sum is σ = 2275648. Its totient is φ = 138240.

The previous prime is 613199. The next prime is 613213. The reversal of 613200 is 2316.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8364 + ... + 8436.

2⁶¹³²⁰⁰ is an apocalyptic number.

613200 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 613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137824).

613200 is an abundant number, since it is smaller than the sum of its proper divisors (1662448).

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

613200 is a wasteful number, since it uses less digits than its factorization.

613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 613200 is about 783.0708780181. The cubic root of 613200 is about 84.9573026619.

Adding to 613200 its reverse (2316), we get a palindrome (615516).

The spelling of 613200 in words is "six hundred thirteen thousand, two hundred".