68821872 has 120 divisors (see below), whose sum is σ = 214160400. Its totient is φ = 18966528.

The previous prime is 68821853. The next prime is 68821873. The reversal of 68821872 is 27812886.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68821873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67704 + ... + 68712.

It is an arithmetic number, because the mean of its divisors is an integer number (1784670).

Almost surely, 2^68821872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68821872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107080200).

68821872 is an abundant number, since it is smaller than the sum of its proper divisors (145338528).

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

68821872 is a wasteful number, since it uses less digits than its factorization.

68821872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1050 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 68821872 is about 8295.8948884373. The cubic root of 68821872 is about 409.8033401492.

The spelling of 68821872 in words is "sixty-eight million, eight hundred twenty-one thousand, eight hundred seventy-two".