614768 has 40 divisors (see below), whose sum is σ = 1488000. Its totient is φ = 239040.

The previous prime is 614759. The next prime is 614773. The reversal of 614768 is 867416.

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 614768.

It is an unprimeable number.

614768 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, 983 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (37200).

614768 is a Friedman number, since it can be written as 16*(7+(8+6)^4), using all its digits and the basic arithmetic operations.

2⁶¹⁴⁷⁶⁸ 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 614768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744000).

614768 is an abundant number, since it is smaller than the sum of its proper divisors (873232).

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

614768 is a wasteful number, since it uses less digits than its factorization.

614768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 614768 is about 784.0714253179. The cubic root of 614768 is about 85.0296551658.

The spelling of 614768 in words is "six hundred fourteen thousand, seven hundred sixty-eight".