8629440 has 112 divisors (see below), whose sum is σ = 27980640. Its totient is φ = 2252800.

The previous prime is 8629433. The next prime is 8629441. The reversal of 8629440 is 449268.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8629441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85390 + ... + 85490.

Almost surely, 2^8629440 is an apocalyptic number.

8629440 is a gapful number since it is divisible by the number (80) 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 8629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990320).

8629440 is an abundant number, since it is smaller than the sum of its proper divisors (19351200).

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

8629440 is a wasteful number, since it uses less digits than its factorization.

8629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8629440 is about 2937.5908496590. The cubic root of 8629440 is about 205.1134806952.

The spelling of 8629440 in words is "eight million, six hundred twenty-nine thousand, four hundred forty".