10267920 has 120 divisors (see below), whose sum is σ = 37169496. Its totient is φ = 2525184.

The previous prime is 10267903. The next prime is 10267931. The reversal of 10267920 is 2976201.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 10265616 = 48^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10267920² = 210860362252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8812 + ... + 9908.

Almost surely, 2^10267920 is an apocalyptic number.

10267920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18584748).

10267920 is an abundant number, since it is smaller than the sum of its proper divisors (26901576).

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

10267920 is a wasteful number, since it uses less digits than its factorization.

10267920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10267920 is about 3204.3595303898. The cubic root of 10267920 is about 217.3505910075.

The spelling of 10267920 in words is "ten million, two hundred sixty-seven thousand, nine hundred twenty".