68288400 has 120 divisors (see below), whose sum is σ = 243094560. Its totient is φ = 18207360.

The previous prime is 68288399. The next prime is 68288401. The reversal of 68288400 is 488286.

It is an interprime number because it is at equal distance from previous prime (68288399) and next prime (68288401).

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 not an unprimeable number, because it can be changed into a prime (68288401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7639 + ... + 13961.

It is an arithmetic number, because the mean of its divisors is an integer number (2025788).

Almost surely, 2^68288400 is an apocalyptic number.

68288400 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 68288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121547280).

68288400 is an abundant number, since it is smaller than the sum of its proper divisors (174806160).

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

68288400 is a wasteful number, since it uses less digits than its factorization.

68288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68288400 is about 8263.6795678439. The cubic root of 68288400 is about 408.7417303268.

The spelling of 68288400 in words is "sixty-eight million, two hundred eighty-eight thousand, four hundred".