612192 has 48 divisors (see below), whose sum is σ = 1838592. Its totient is φ = 174720.

The previous prime is 612181. The next prime is 612193. The reversal of 612192 is 291216.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 612192.

It is not an unprimeable number, because it can be changed into a prime (612193) by changing a digit.

612192 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁶¹²¹⁹² 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 612192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296).

612192 is an abundant number, since it is smaller than the sum of its proper divisors (1226400).

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

612192 is a wasteful number, since it uses less digits than its factorization.

612192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 923 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 612192 is about 782.4269933994. The cubic root of 612192 is about 84.9107251840.

Subtracting from 612192 its sum of digits (21), we obtain a triangular number (612171 = T₁₁₀₆).

The spelling of 612192 in words is "six hundred twelve thousand, one hundred ninety-two".