8209440 has 72 divisors (see below), whose sum is σ = 28019628. Its totient is φ = 2188800.

The previous prime is 8209433. The next prime is 8209483. The reversal of 8209440 is 449028.

It can be written as a sum of positive squares in 2 ways, for example, as 8088336 + 121104 = 2844^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×8209440² = 134789810227200, 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, 1411 + ... + 4290.

Almost surely, 2^8209440 is an apocalyptic number.

8209440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8209440 is an abundant number, since it is smaller than the sum of its proper divisors (19810188).

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

8209440 is a wasteful number, since it uses less digits than its factorization.

8209440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8209440 is about 2865.2120340387. The cubic root of 8209440 is about 201.7303201231.

It can be divided in two parts, 8209 and 440, that added together give a square (8649 = 93²).

The spelling of 8209440 in words is "eight million, two hundred nine thousand, four hundred forty".