68188400 has 150 divisors (see below), whose sum is σ = 193806792. Its totient is φ = 23049600.

The previous prime is 68188387. The next prime is 68188403. The reversal of 68188400 is 488186.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68188403) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 960365 + ... + 960435.

Almost surely, 2^68188400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96903396).

68188400 is an abundant number, since it is smaller than the sum of its proper divisors (125618392).

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

68188400 is an equidigital number, since it uses as much as digits as its factorization.

68188400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 68188400 is about 8257.6267777128. The cubic root of 68188400 is about 408.5421154531.

The spelling of 68188400 in words is "sixty-eight million, one hundred eighty-eight thousand, four hundred".