68336400 has 240 divisors, whose sum is σ = 247984128. Its totient is φ = 15936000.

The previous prime is 68336399. The next prime is 68336419. The reversal of 68336400 is 463386.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409117 + ... + 409283.

Almost surely, 2^68336400 is an apocalyptic number.

68336400 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 68336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123992064).

68336400 is an abundant number, since it is smaller than the sum of its proper divisors (179647728).

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

68336400 is a wasteful number, since it uses less digits than its factorization.

68336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 68336400 is about 8266.5833329133. The cubic root of 68336400 is about 408.8374762512.

Adding to 68336400 its reverse (463386), we get a palindrome (68799786).

The spelling of 68336400 in words is "sixty-eight million, three hundred thirty-six thousand, four hundred".