6142400 has 84 divisors (see below), whose sum is σ = 16535400. Its totient is φ = 2227200.

The previous prime is 6142397. The next prime is 6142441. The reversal of 6142400 is 42416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17426 + ... + 17774.

It is an arithmetic number, because the mean of its divisors is an integer number (196850).

Almost surely, 2^6142400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267700).

6142400 is an abundant number, since it is smaller than the sum of its proper divisors (10393000).

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

6142400 is a wasteful number, since it uses less digits than its factorization.

6142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 6142400 is about 2478.3865719455. The cubic root of 6142400 is about 183.1383786193.

Adding to 6142400 its reverse (42416), we get a palindrome (6184816).

The spelling of 6142400 in words is "six million, one hundred forty-two thousand, four hundred".