68827920 has 160 divisors (see below), whose sum is σ = 248769792. Its totient is φ = 15415296.

The previous prime is 68827919. The next prime is 68827921. The reversal of 68827920 is 2972886.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68827919) and next prime (68827921).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68827921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88654 + ... + 89426.

Almost surely, 2^68827920 is an apocalyptic number.

68827920 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 68827920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124384896).

68827920 is an abundant number, since it is smaller than the sum of its proper divisors (179941872).

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

68827920 is a wasteful number, since it uses less digits than its factorization.

68827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

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

The square root of 68827920 is about 8296.2593980661. The cubic root of 68827920 is about 409.8153441722.

The spelling of 68827920 in words is "sixty-eight million, eight hundred twenty-seven thousand, nine hundred twenty".