8269920 has 72 divisors (see below), whose sum is σ = 28226016. Its totient is φ = 2204928.

The previous prime is 8269909. The next prime is 8269931. The reversal of 8269920 is 299628.

It is an interprime number because it is at equal distance from previous prime (8269909) and next prime (8269931).

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 zygodrome in base 2.

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, 1432 + ... + 4311.

It is an arithmetic number, because the mean of its divisors is an integer number (392028).

Almost surely, 2^8269920 is an apocalyptic number.

8269920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8269920 is an abundant number, since it is smaller than the sum of its proper divisors (19956096).

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

8269920 is a wasteful number, since it uses less digits than its factorization.

8269920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8269920 is about 2875.7468595132. The cubic root of 8269920 is about 202.2244996098.

The spelling of 8269920 in words is "eight million, two hundred sixty-nine thousand, nine hundred twenty".