8434944 has 108 divisors (see below), whose sum is σ = 27847456. Its totient is φ = 2405376.

The previous prime is 8434913. The next prime is 8434957. The reversal of 8434944 is 4494348.

It is a super-2 number, since 2×8434944² = 142296560566272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 8434899 and 8434908.

It is a congruent number.

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, 15867 + ... + 16389.

Almost surely, 2^8434944 is an apocalyptic number.

8434944 is a gapful number since it is divisible by the number (84) 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 8434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923728).

8434944 is an abundant number, since it is smaller than the sum of its proper divisors (19412512).

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

8434944 is a wasteful number, since it uses less digits than its factorization.

8434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 535 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 8434944 is about 2904.2975054219. The cubic root of 8434944 is about 203.5607619790.

The spelling of 8434944 in words is "eight million, four hundred thirty-four thousand, nine hundred forty-four".