10266984 has 96 divisors (see below), whose sum is σ = 34245120. Its totient is φ = 2706048.

The previous prime is 10266979. The next prime is 10266989. The reversal of 10266984 is 48966201.

It is an interprime number because it is at equal distance from previous prime (10266979) and next prime (10266989).

It is a super-4 number, since 4×10266984⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10266989) 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 23 ways as a sum of consecutive naturals, for example, 5769 + ... + 7335.

It is an arithmetic number, because the mean of its divisors is an integer number (356720).

Almost surely, 2^10266984 is an apocalyptic number.

10266984 is a gapful number since it is divisible by the number (14) 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 10266984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122560).

10266984 is an abundant number, since it is smaller than the sum of its proper divisors (23978136).

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

10266984 is a wasteful number, since it uses less digits than its factorization.

10266984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10266984 is about 3204.2134760343. The cubic root of 10266984 is about 217.3439864133.

The spelling of 10266984 in words is "ten million, two hundred sixty-six thousand, nine hundred eighty-four".