8013444 has 36 divisors (see below), whose sum is σ = 19114704. Its totient is φ = 2612688.

The previous prime is 8013433. The next prime is 8013449. The reversal of 8013444 is 4443108.

It is a super-2 number, since 2×8013444² = 128430569482272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8013449) 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, 74839 + ... + 74945.

It is an arithmetic number, because the mean of its divisors is an integer number (530964).

Almost surely, 2^8013444 is an apocalyptic number.

It is an amenable number.

8013444 is an abundant number, since it is smaller than the sum of its proper divisors (11101260).

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

8013444 is a wasteful number, since it uses less digits than its factorization.

8013444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8013444 is about 2830.8027130127. The cubic root of 8013444 is about 200.1119706345. Note that the first 3 decimals are identical.

The spelling of 8013444 in words is "eight million, thirteen thousand, four hundred forty-four".