4267890 has 80 divisors (see below), whose sum is σ = 12545280. Its totient is φ = 1032480.

The previous prime is 4267889. The next prime is 4267891. The reversal of 4267890 is 987624.

It is an interprime number because it is at equal distance from previous prime (4267889) and next prime (4267891).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4267891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8671 + ... + 9149.

It is an arithmetic number, because the mean of its divisors is an integer number (156816).

Almost surely, 2^4267890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4267890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272640).

4267890 is an abundant number, since it is smaller than the sum of its proper divisors (8277390).

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

4267890 is a wasteful number, since it uses less digits than its factorization.

4267890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4267890 is about 2065.8872186061. The cubic root of 4267890 is about 162.2075529016.

The spelling of 4267890 in words is "four million, two hundred sixty-seven thousand, eight hundred ninety".