4019964 has 48 divisors (see below), whose sum is σ = 10268832. Its totient is φ = 1216512.

The previous prime is 4019909. The next prime is 4019993. The reversal of 4019964 is 4699104.

It is a super-2 number, since 2×4019964² = 32320221122592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11212 + ... + 11564.

It is an arithmetic number, because the mean of its divisors is an integer number (213934).

Almost surely, 2^4019964 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 4019964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134416).

4019964 is an abundant number, since it is smaller than the sum of its proper divisors (6248868).

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

4019964 is a wasteful number, since it uses less digits than its factorization.

4019964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 4019964 is about 2004.9847879722. The cubic root of 4019964 is about 159.0037576739.

The spelling of 4019964 in words is "four million, nineteen thousand, nine hundred sixty-four".