613768 has 16 divisors (see below), whose sum is σ = 1218780. Its totient is φ = 288768.

The previous prime is 613763. The next prime is 613807. The reversal of 613768 is 867316.

It can be written as a sum of positive squares in 2 ways, for example, as 580644 + 33124 = 762^2 + 182^2 .

It is a super-2 number, since 2×613768² = 753422315648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (613763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2121 + ... + 2392.

2⁶¹³⁷⁶⁸ is an apocalyptic number.

613768 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

613768 is a deficient number, since it is larger than the sum of its proper divisors (605012).

613768 is a wasteful number, since it uses less digits than its factorization.

613768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4532 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 613768 is about 783.4334687770. The cubic root of 613768 is about 84.9835262192.

It can be divided in two parts, 6137 and 68, that multiplied together give a square (417316 = 646²).

The spelling of 613768 in words is "six hundred thirteen thousand, seven hundred sixty-eight".