68376960 has 160 divisors (see below), whose sum is σ = 244371600. Its totient is φ = 18220032.

The previous prime is 68376947. The next prime is 68376961. The reversal of 68376960 is 6967386.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68376961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51181 + ... + 52499.

Almost surely, 2^68376960 is an apocalyptic number.

68376960 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 68376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122185800).

68376960 is an abundant number, since it is smaller than the sum of its proper divisors (175994640).

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

68376960 is a wasteful number, since it uses less digits than its factorization.

68376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 68376960 is about 8269.0362195361. The cubic root of 68376960 is about 408.9183466140.

The spelling of 68376960 in words is "sixty-eight million, three hundred seventy-six thousand, nine hundred sixty".