4142864 has 20 divisors (see below), whose sum is σ = 8756880. Its totient is φ = 1883040.

The previous prime is 4142863. The next prime is 4142891. The reversal of 4142864 is 4682414.

It is not an unprimeable number, because it can be changed into a prime (4142863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11594 + ... + 11945.

It is an arithmetic number, because the mean of its divisors is an integer number (437844).

Almost surely, 2^4142864 is an apocalyptic number.

4142864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4142864 is an abundant number, since it is smaller than the sum of its proper divisors (4614016).

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

4142864 is a wasteful number, since it uses less digits than its factorization.

4142864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23558 (or 23552 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 4142864 is about 2035.4026628655. The cubic root of 4142864 is about 160.6078958002.

The spelling of 4142864 in words is "four million, one hundred forty-two thousand, eight hundred sixty-four".