68133360 has 80 divisors (see below), whose sum is σ = 220414464. Its totient is φ = 17377536.

The previous prime is 68133353. The next prime is 68133389. The reversal of 68133360 is 6333186.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652 + ... + 11691.

Almost surely, 2^68133360 is an apocalyptic number.

68133360 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 68133360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110207232).

68133360 is an abundant number, since it is smaller than the sum of its proper divisors (152281104).

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

68133360 is a wasteful number, since it uses less digits than its factorization.

68133360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12382 (or 12376 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 68133360 is about 8254.2934282711. The cubic root of 68133360 is about 408.4321641474.

The spelling of 68133360 in words is "sixty-eight million, one hundred thirty-three thousand, three hundred sixty".