68158800 has 120 divisors (see below), whose sum is σ = 242633280. Its totient is φ = 18172800.

The previous prime is 68158759. The next prime is 68158807. The reversal of 68158800 is 885186.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68158807) 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, 7645 + ... + 13955.

It is an arithmetic number, because the mean of its divisors is an integer number (2021944).

Almost surely, 2^68158800 is an apocalyptic number.

68158800 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 68158800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121316640).

68158800 is an abundant number, since it is smaller than the sum of its proper divisors (174474480).

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

68158800 is a wasteful number, since it uses less digits than its factorization.

68158800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 68158800 is about 8255.8343006628. The cubic root of 68158800 is about 408.4829920203.

The spelling of 68158800 in words is "sixty-eight million, one hundred fifty-eight thousand, eight hundred".