6140400 has 240 divisors, whose sum is σ = 24355584. Its totient is φ = 1290240.

The previous prime is 6140389. The next prime is 6140411. The reversal of 6140400 is 40416.

It is an interprime number because it is at equal distance from previous prime (6140389) and next prime (6140411).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6140400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142779 + ... + 142821.

Almost surely, 2^6140400 is an apocalyptic number.

6140400 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 6140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177792).

6140400 is an abundant number, since it is smaller than the sum of its proper divisors (18215184).

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

6140400 is a wasteful number, since it uses less digits than its factorization.

6140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 6140400 is about 2477.9830507895. The cubic root of 6140400 is about 183.1184994994.

Adding to 6140400 its reverse (40416), we get a palindrome (6180816).

The spelling of 6140400 in words is "six million, one hundred forty thousand, four hundred".