4121964 has 72 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1069920.

The previous prime is 4121959. The next prime is 4121987. The reversal of 4121964 is 4691214.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2029 + ... + 3515.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 2^4121964 is an apocalyptic number.

4121964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

4121964 is an abundant number, since it is smaller than the sum of its proper divisors (8877204).

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

4121964 is a wasteful number, since it uses less digits than its factorization.

4121964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1510 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4121964 is about 2030.2620520514. The cubic root of 4121964 is about 160.3373610886.

The spelling of 4121964 in words is "four million, one hundred twenty-one thousand, nine hundred sixty-four".