10269360 has 120 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 2574336.

The previous prime is 10269349. The next prime is 10269403. The reversal of 10269360 is 6396201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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, 11821 + ... + 12659.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 2^10269360 is an apocalyptic number.

10269360 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 10269360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

10269360 is an abundant number, since it is smaller than the sum of its proper divisors (26290800).

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

10269360 is a wasteful number, since it uses less digits than its factorization.

10269360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10269360 is about 3204.5842164000. The cubic root of 10269360 is about 217.3607511380.

The spelling of 10269360 in words is "ten million, two hundred sixty-nine thousand, three hundred sixty".