68332800 has 108 divisors (see below), whose sum is σ = 225575840. Its totient is φ = 18216960.

The previous prime is 68332777. The next prime is 68332811. The reversal of 68332800 is 823386.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17421 + ... + 20979.

Almost surely, 2^68332800 is an apocalyptic number.

68332800 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 68332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112787920).

68332800 is an abundant number, since it is smaller than the sum of its proper divisors (157243040).

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

68332800 is a wasteful number, since it uses less digits than its factorization.

68332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 68332800 is about 8266.3655859150. The cubic root of 68332800 is about 408.8302968624.

The spelling of 68332800 in words is "sixty-eight million, three hundred thirty-two thousand, eight hundred".