613392 has 40 divisors (see below), whose sum is σ = 1708224. Its totient is φ = 188544.

The previous prime is 613381. The next prime is 613421. The reversal of 613392 is 293316.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

613392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 1115.

2⁶¹³³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854112).

613392 is an abundant number, since it is smaller than the sum of its proper divisors (1094832).

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

613392 is a wasteful number, since it uses less digits than its factorization.

613392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 613392 is about 783.1934626898. The cubic root of 613392 is about 84.9661687741.

The spelling of 613392 in words is "six hundred thirteen thousand, three hundred ninety-two".