612288 has 42 divisors (see below), whose sum is σ = 1756664. Its totient is φ = 203904.

The previous prime is 612263. The next prime is 612301. The reversal of 612288 is 882216.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

612288 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 5 ways as a sum of consecutive naturals, for example, 45 + ... + 1107.

2⁶¹²²⁸⁸ 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 612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878332).

612288 is an abundant number, since it is smaller than the sum of its proper divisors (1144376).

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

612288 is a wasteful number, since it uses less digits than its factorization.

612288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1068 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 612288 is about 782.4883385713. The cubic root of 612288 is about 84.9151633361.

It can be divided in two parts, 612 and 288, that added together give a square (900 = 30²).

The spelling of 612288 in words is "six hundred twelve thousand, two hundred eighty-eight".