10266000 has 160 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 2598400.

The previous prime is 10265999. The next prime is 10266007. The reversal of 10266000 is 66201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10266007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173971 + ... + 174029.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 2^10266000 is an apocalyptic number.

10266000 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 10266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

10266000 is an abundant number, since it is smaller than the sum of its proper divisors (24553200).

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

10266000 is a wasteful number, since it uses less digits than its factorization.

10266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10266000 is about 3204.0599245332. The cubic root of 10266000 is about 217.3370426891.

The spelling of 10266000 in words is "ten million, two hundred sixty-six thousand".