68396400 has 150 divisors (see below), whose sum is σ = 245585472. Its totient is φ = 18230400.

The previous prime is 68396381. The next prime is 68396417. The reversal of 68396400 is 469386.

68396400 is a `hidden beast` number, since 6 + 8 + 3 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31345 + ... + 33455.

Almost surely, 2^68396400 is an apocalyptic number.

68396400 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 68396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122792736).

68396400 is an abundant number, since it is smaller than the sum of its proper divisors (177189072).

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

68396400 is a wasteful number, since it uses less digits than its factorization.

68396400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 68396400 is about 8270.2116055153. The cubic root of 68396400 is about 408.9570956284.

The spelling of 68396400 in words is "sixty-eight million, three hundred ninety-six thousand, four hundred".