4142664 has 48 divisors (see below), whose sum is σ = 11640720. Its totient is φ = 1380240.

The previous prime is 4142659. The next prime is 4142669. The reversal of 4142664 is 4662414.

It is an interprime number because it is at equal distance from previous prime (4142659) and next prime (4142669).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (4142669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 879 + ... + 3009.

It is an arithmetic number, because the mean of its divisors is an integer number (242515).

Almost surely, 2^4142664 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 4142664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820360).

4142664 is an abundant number, since it is smaller than the sum of its proper divisors (7498056).

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

4142664 is a wasteful number, since it uses less digits than its factorization.

4142664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2136 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4142664 is about 2035.3535319448. The cubic root of 4142664 is about 160.6053112680.

The spelling of 4142664 in words is "four million, one hundred forty-two thousand, six hundred sixty-four".