68894400 has 168 divisors, whose sum is σ = 233826304. Its totient is φ = 17740800.

The previous prime is 68894389. The next prime is 68894417. The reversal of 68894400 is 449886.

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, 148569 + ... + 149031.

Almost surely, 2^68894400 is an apocalyptic number.

68894400 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 68894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116913152).

68894400 is an abundant number, since it is smaller than the sum of its proper divisors (164931904).

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

68894400 is a wasteful number, since it uses less digits than its factorization.

68894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68894400 is about 8300.2650560088. The cubic root of 68894400 is about 409.9472468316.

The spelling of 68894400 in words is "sixty-eight million, eight hundred ninety-four thousand, four hundred".