10280920 has 64 divisors (see below), whose sum is σ = 26399520. Its totient is φ = 3569664.

The previous prime is 10280867. The next prime is 10280929. The reversal of 10280920 is 2908201.

It is a junction number, because it is equal to n+sod(n) for n = 10280891 and 10280900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10280929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8259 + ... + 9421.

Almost surely, 2^10280920 is an apocalyptic number.

10280920 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 10280920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199760).

10280920 is an abundant number, since it is smaller than the sum of its proper divisors (16118600).

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

10280920 is a wasteful number, since it uses less digits than its factorization.

10280920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10280920 is about 3206.3873752246. The cubic root of 10280920 is about 217.4422800111.

The spelling of 10280920 in words is "ten million, two hundred eighty thousand, nine hundred twenty".