8828640 has 72 divisors (see below), whose sum is σ = 30132648. Its totient is φ = 2353920.

The previous prime is 8828639. The next prime is 8828641. The reversal of 8828640 is 468288.

8828640 is a `hidden beast` number, since 8 + 8 + 2 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (8828639) and next prime (8828641).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 8828595 and 8828604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8828641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1626 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (418509).

Almost surely, 2^8828640 is an apocalyptic number.

8828640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8828640 is an abundant number, since it is smaller than the sum of its proper divisors (21304008).

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

8828640 is a wasteful number, since it uses less digits than its factorization.

8828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8828640 is about 2971.3027445886. The cubic root of 8828640 is about 206.6797540562.

The spelling of 8828640 in words is "eight million, eight hundred twenty-eight thousand, six hundred forty".