68066400 has 144 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 17871360.

The previous prime is 68066381. The next prime is 68066413. The reversal of 68066400 is 466086.

It is a happy number.

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

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189421 + ... + 189779.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^68066400 is an apocalyptic number.

68066400 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 68066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

68066400 is an abundant number, since it is smaller than the sum of its proper divisors (156919200).

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

68066400 is a wasteful number, since it uses less digits than its factorization.

68066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

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

The square root of 68066400 is about 8250.2363602505. The cubic root of 68066400 is about 408.2983208445.

The spelling of 68066400 in words is "sixty-eight million, sixty-six thousand, four hundred".