8267920 has 20 divisors (see below), whose sum is σ = 19223100. Its totient is φ = 3307136.

The previous prime is 8267891. The next prime is 8267951. The reversal of 8267920 is 297628.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 6330256 = 1392^2 + 2516^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×8267920² = 136717002252800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51595 + ... + 51754.

It is an arithmetic number, because the mean of its divisors is an integer number (961155).

Almost surely, 2^8267920 is an apocalyptic number.

8267920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8267920 is an abundant number, since it is smaller than the sum of its proper divisors (10955180).

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

8267920 is a wasteful number, since it uses less digits than its factorization.

8267920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103362 (or 103356 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 8267920 is about 2875.3991027334. The cubic root of 8267920 is about 202.2081962837.

The spelling of 8267920 in words is "eight million, two hundred sixty-seven thousand, nine hundred twenty".