68400 has 90 divisors (see below), whose sum is σ = 249860. Its totient is φ = 17280.

The previous prime is 68399. The next prime is 68437. The reversal of 68400 is 486.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3591 + ... + 3609.

2⁶⁸⁴⁰⁰ is an apocalyptic number.

68400 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 68400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124930).

68400 is an abundant number, since it is smaller than the sum of its proper divisors (181460).

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

68400 is a wasteful number, since it uses less digits than its factorization.

68400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 68400 is about 261.5339366124. The cubic root of 68400 is about 40.8964270566.

Adding to 68400 its reverse (486), we get a palindrome (68886).

The spelling of 68400 in words is "sixty-eight thousand, four hundred".