612768 has 48 divisors (see below), whose sum is σ = 1735776. Its totient is φ = 188160.

The previous prime is 612763. The next prime is 612791. The reversal of 612768 is 867216.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (612763) by changing a digit.

612768 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, 1003 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (36162).

2⁶¹²⁷⁶⁸ 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 612768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867888).

612768 is an abundant number, since it is smaller than the sum of its proper divisors (1123008).

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

612768 is a wasteful number, since it uses less digits than its factorization.

612768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 612768 is about 782.7949923192. The cubic root of 612768 is about 84.9373471407.

The spelling of 612768 in words is "six hundred twelve thousand, seven hundred sixty-eight".