68834400 has 288 divisors, whose sum is σ = 247484160. Its totient is φ = 16558080.

The previous prime is 68834387. The next prime is 68834419. The reversal of 68834400 is 443886.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1600779 + ... + 1600821.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^68834400 is an apocalyptic number.

68834400 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 68834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

68834400 is an abundant number, since it is smaller than the sum of its proper divisors (178649760).

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

68834400 is a wasteful number, since it uses less digits than its factorization.

68834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 68834400 is about 8296.6499263257. The cubic root of 68834400 is about 409.8282048451.

The spelling of 68834400 in words is "sixty-eight million, eight hundred thirty-four thousand, four hundred".