10267890 has 48 divisors (see below), whose sum is σ = 25800768. Its totient is φ = 2615008.

The previous prime is 10267889. The next prime is 10267897. The reversal of 10267890 is 9876201.

It is not an unprimeable number, because it can be changed into a prime (10267897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15547 + ... + 16193.

It is an arithmetic number, because the mean of its divisors is an integer number (537516).

Almost surely, 2^10267890 is an apocalyptic number.

10267890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10267890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900384).

10267890 is an abundant number, since it is smaller than the sum of its proper divisors (15532878).

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

10267890 is a wasteful number, since it uses less digits than its factorization.

10267890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10267890 is about 3204.3548492637. The cubic root of 10267890 is about 217.3503793280.

The spelling of 10267890 in words is "ten million, two hundred sixty-seven thousand, eight hundred ninety".