68184960 has 128 divisors (see below), whose sum is σ = 230234400. Its totient is φ = 17104896.

The previous prime is 68184959. The next prime is 68184967. The reversal of 68184960 is 6948186.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68184967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31596 + ... + 33684.

Almost surely, 2^68184960 is an apocalyptic number.

68184960 is a gapful number since it is divisible by the number (60) 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 68184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115117200).

68184960 is an abundant number, since it is smaller than the sum of its proper divisors (162049440).

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

68184960 is a wasteful number, since it uses less digits than its factorization.

68184960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 68184960 is about 8257.4184827947. The cubic root of 68184960 is about 408.5352452302.

The spelling of 68184960 in words is "sixty-eight million, one hundred eighty-four thousand, nine hundred sixty".