68928720 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 15544320.

The previous prime is 68928709. The next prime is 68928767. The reversal of 68928720 is 2782986.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 149290 + ... + 149750.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^68928720 is an apocalyptic number.

68928720 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 68928720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

68928720 is an abundant number, since it is smaller than the sum of its proper divisors (178555440).

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

68928720 is a wasteful number, since it uses less digits than its factorization.

68928720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 68928720 is about 8302.3322024597. The cubic root of 68928720 is about 410.0153077767.

The spelling of 68928720 in words is "sixty-eight million, nine hundred twenty-eight thousand, seven hundred twenty".