68312880 has 120 divisors (see below), whose sum is σ = 232514880. Its totient is φ = 17971200.

The previous prime is 68312879. The next prime is 68312891. The reversal of 68312880 is 8821386.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 56280 + ... + 57480.

It is an arithmetic number, because the mean of its divisors is an integer number (1937624).

Almost surely, 2^68312880 is an apocalyptic number.

68312880 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 68312880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116257440).

68312880 is an abundant number, since it is smaller than the sum of its proper divisors (164202000).

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

68312880 is a wasteful number, since it uses less digits than its factorization.

68312880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68312880 is about 8265.1606154993. The cubic root of 68312880 is about 408.7905663523.

The spelling of 68312880 in words is "sixty-eight million, three hundred twelve thousand, eight hundred eighty".