68400000 has 288 divisors, whose sum is σ = 258967800. Its totient is φ = 17280000.

The previous prime is 68399983. The next prime is 68400001. The reversal of 68400000 is 486.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68400001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3599991 + ... + 3600009.

Almost surely, 2^68400000 is an apocalyptic number.

68400000 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 68400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129483900).

68400000 is an abundant number, since it is smaller than the sum of its proper divisors (190567800).

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

68400000 is an equidigital number, since it uses as much as digits as its factorization.

68400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

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

The square root of 68400000 is about 8270.4292512541. The cubic root of 68400000 is about 408.9642705660.

Adding to 68400000 its reverse (486), we get a palindrome (68400486).

The spelling of 68400000 in words is "sixty-eight million, four hundred thousand".