6142800 has 60 divisors (see below), whose sum is σ = 19681280. Its totient is φ = 1637760.

The previous prime is 6142783. The next prime is 6142813. The reversal of 6142800 is 82416.

It is a tau number, because it is divible by the number of its divisors (60).

It is an Ulam number.

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 11 ways as a sum of consecutive naturals, for example, 1360 + ... + 3759.

Almost surely, 2^6142800 is an apocalyptic number.

6142800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6142800 is an abundant number, since it is smaller than the sum of its proper divisors (13538480).

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

6142800 is a wasteful number, since it uses less digits than its factorization.

6142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6142800 is about 2478.4672682930. The cubic root of 6142800 is about 183.1423539254.

Subtracting from 6142800 its product of nonzero digits (384), we obtain a palindrome (6142416).

The spelling of 6142800 in words is "six million, one hundred forty-two thousand, eight hundred".