61368 has 16 divisors (see below), whose sum is σ = 153480. Its totient is φ = 20448.

The previous prime is 61363. The next prime is 61379. The reversal of 61368 is 86316.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2557 = 61368 / (6 + 1 + 3 + 6 + 8).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61363) by changing a digit.

61368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1255 + ... + 1302.

2⁶¹³⁶⁸ is an apocalyptic number.

It is an amenable number.

61368 is an abundant number, since it is smaller than the sum of its proper divisors (92112).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76740).

61368 is a wasteful number, since it uses less digits than its factorization.

61368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2562 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 61368 is about 247.7256547070. The cubic root of 61368 is about 39.4439733389.

The spelling of 61368 in words is "sixty-one thousand, three hundred sixty-eight".