10260920 has 32 divisors (see below), whose sum is σ = 23418720. Its totient is φ = 4045440.

The previous prime is 10260919. The next prime is 10260923. The reversal of 10260920 is 2906201.

10260920 = T₄₀ + T₄₁ + ... + T₃₉₄.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10260892 and 10260901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10260923) 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 7 ways as a sum of consecutive naturals, for example, 1034 + ... + 4646.

It is an arithmetic number, because the mean of its divisors is an integer number (731835).

Almost surely, 2^10260920 is an apocalyptic number.

10260920 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 10260920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11709360).

10260920 is an abundant number, since it is smaller than the sum of its proper divisors (13157800).

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

10260920 is a wasteful number, since it uses less digits than its factorization.

10260920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10260920 is about 3203.2670822147. The cubic root of 10260920 is about 217.3011879473.

The spelling of 10260920 in words is "ten million, two hundred sixty thousand, nine hundred twenty".