68966400 has 144 divisors (see below), whose sum is σ = 228501000. Its totient is φ = 18350080.

The previous prime is 68966363. The next prime is 68966411. The reversal of 68966400 is 466986.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153376 + ... + 153824.

Almost surely, 2^68966400 is an apocalyptic number.

68966400 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 68966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114250500).

68966400 is an abundant number, since it is smaller than the sum of its proper divisors (159534600).

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

68966400 is a wasteful number, since it uses less digits than its factorization.

68966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 68966400 is about 8304.6011343110. The cubic root of 68966400 is about 410.0900060181.

The spelling of 68966400 in words is "sixty-eight million, nine hundred sixty-six thousand, four hundred".