8229904 has 40 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 3813888.

The previous prime is 8229901. The next prime is 8229913. The reversal of 8229904 is 4099228.

8229904 = T₁₃₆ + T₁₃₇ + ... + T₃₇₂.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 8229904.

It is not an unprimeable number, because it can be changed into a prime (8229901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21297 + ... + 21679.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^8229904 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 8229904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

8229904 is an abundant number, since it is smaller than the sum of its proper divisors (8911856).

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

8229904 is a wasteful number, since it uses less digits than its factorization.

8229904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8229904 is about 2868.7809257592. The cubic root of 8229904 is about 201.8978014547.

The spelling of 8229904 in words is "eight million, two hundred twenty-nine thousand, nine hundred four".