10265892 has 144 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 2515968.

The previous prime is 10265891. The next prime is 10265923. The reversal of 10265892 is 29856201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10265891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129909 + ... + 129987.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^10265892 is an apocalyptic number.

10265892 is a gapful number since it is divisible by the number (12) 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 10265892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

10265892 is an abundant number, since it is smaller than the sum of its proper divisors (21909468).

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

10265892 is a wasteful number, since it uses less digits than its factorization.

10265892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10265892 is about 3204.0430708716. The cubic root of 10265892 is about 217.3362805460.

The spelling of 10265892 in words is "ten million, two hundred sixty-five thousand, eight hundred ninety-two".