6407142 has 96 divisors (see below), whose sum is σ = 16634880. Its totient is φ = 1632960.

The previous prime is 6407131. The next prime is 6407189. The reversal of 6407142 is 2417046.

6407142 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173148 + ... + 173184.

It is an arithmetic number, because the mean of its divisors is an integer number (173280).

Almost surely, 2^6407142 is an apocalyptic number.

6407142 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6407142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317440).

6407142 is an abundant number, since it is smaller than the sum of its proper divisors (10227738).

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

6407142 is a wasteful number, since it uses less digits than its factorization.

6407142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 6407142 is about 2531.2332962412. The cubic root of 6407142 is about 185.7325906443.

The spelling of 6407142 in words is "six million, four hundred seven thousand, one hundred forty-two".