68833800 has 240 divisors, whose sum is σ = 273672960. Its totient is φ = 15707520.

The previous prime is 68833777. The next prime is 68833811. The reversal of 68833800 is 833886.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113097 + ... + 113703.

It is an arithmetic number, because the mean of its divisors is an integer number (1140304).

Almost surely, 2^68833800 is an apocalyptic number.

68833800 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 68833800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136836480).

68833800 is an abundant number, since it is smaller than the sum of its proper divisors (204839160).

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

68833800 is a wasteful number, since it uses less digits than its factorization.

68833800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68833800 is about 8296.6137670739. The cubic root of 68833800 is about 409.8270140759.

The spelling of 68833800 in words is "sixty-eight million, eight hundred thirty-three thousand, eight hundred".