6142416 has 80 divisors (see below), whose sum is σ = 18415488. Its totient is φ = 1728000.

The previous prime is 6142397. The next prime is 6142441.

6142416 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 33846 + ... + 34026.

Almost surely, 2^6142416 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 6142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207744).

6142416 is an abundant number, since it is smaller than the sum of its proper divisors (12273072).

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

6142416 is a wasteful number, since it uses less digits than its factorization.

6142416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 6142416 is about 2478.3897998499. The cubic root of 6142416 is about 183.1385376349.

The spelling of 6142416 in words is "six million, one hundred forty-two thousand, four hundred sixteen".