10265820 has 96 divisors (see below), whose sum is σ = 30868992. Its totient is φ = 2542848.

The previous prime is 10265809. The next prime is 10265831. The reversal of 10265820 is 2856201.

10265820 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10265809) and next prime (10265831).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59254 + ... + 59426.

It is an arithmetic number, because the mean of its divisors is an integer number (321552).

Almost surely, 2^10265820 is an apocalyptic number.

10265820 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 10265820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434496).

10265820 is an abundant number, since it is smaller than the sum of its proper divisors (20603172).

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

10265820 is a wasteful number, since it uses less digits than its factorization.

10265820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10265820 is about 3204.0318350478. The cubic root of 10265820 is about 217.3357724476.

The spelling of 10265820 in words is "ten million, two hundred sixty-five thousand, eight hundred twenty".