68398400 has 168 divisors, whose sum is σ = 199558656. Its totient is φ = 22579200.

The previous prime is 68398397. The next prime is 68398411. The reversal of 68398400 is 489386.

It is a super-2 number, since 2×68398400² = 9356682245120000, which contains 22 as substring.

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, 347102 + ... + 347298.

Almost surely, 2^68398400 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 68398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99779328).

68398400 is an abundant number, since it is smaller than the sum of its proper divisors (131160256).

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

68398400 is a wasteful number, since it uses less digits than its factorization.

68398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 68398400 is about 8270.3325205218. The cubic root of 68398400 is about 408.9610817359.

The spelling of 68398400 in words is "sixty-eight million, three hundred ninety-eight thousand, four hundred".