68018400 has 288 divisors, whose sum is σ = 254983680. Its totient is φ = 17487360.

The previous prime is 68018381. The next prime is 68018413. The reversal of 68018400 is 481086.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1015167 + ... + 1015233.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 2^68018400 is an apocalyptic number.

68018400 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 68018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840).

68018400 is an abundant number, since it is smaller than the sum of its proper divisors (186965280).

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

68018400 is a wasteful number, since it uses less digits than its factorization.

68018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 68018400 is about 8247.3268396493. The cubic root of 68018400 is about 408.2023218000.

Adding to 68018400 its reverse (481086), we get a palindrome (68499486).

The spelling of 68018400 in words is "sixty-eight million, eighteen thousand, four hundred".