4013964 has 36 divisors (see below), whose sum is σ = 10386376. Its totient is φ = 1306368.

The previous prime is 4013953. The next prime is 4013981. The reversal of 4013964 is 4693104.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4013964² = 32223813986592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252 + ... + 2844.

Almost surely, 2^4013964 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 4013964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193188).

4013964 is an abundant number, since it is smaller than the sum of its proper divisors (6372412).

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

4013964 is a wasteful number, since it uses less digits than its factorization.

4013964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4013964 is about 2003.4879585363. The cubic root of 4013964 is about 158.9246112287.

The spelling of 4013964 in words is "four million, thirteen thousand, nine hundred sixty-four".