614976768 has 216 divisors, whose sum is σ = 2146592448. Its totient is φ = 165298176.

The previous prime is 614976757. The next prime is 614976773. The reversal of 614976768 is 867679416.

It is a happy number.

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.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273055 + ... + 275297.

It is an arithmetic number, because the mean of its divisors is an integer number (9937928).

Almost surely, 2^614976768 is an apocalyptic number.

614976768 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073296224).

614976768 is an abundant number, since it is smaller than the sum of its proper divisors (1531615680).

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

614976768 is a wasteful number, since it uses less digits than its factorization.

614976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2272 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 614976768 is about 24798.7251285222. The cubic root of 614976768 is about 850.3927910096.

It can be divided in two parts, 61497 and 6768, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 614976768 in words is "six hundred fourteen million, nine hundred seventy-six thousand, seven hundred sixty-eight".