10275440 has 80 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 3452160.

The previous prime is 10275431. The next prime is 10275479. The reversal of 10275440 is 4457201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 32885 + ... + 33195.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 2^10275440 is an apocalyptic number.

10275440 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 10275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

10275440 is an abundant number, since it is smaller than the sum of its proper divisors (17579920).

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

10275440 is a wasteful number, since it uses less digits than its factorization.

10275440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 10275440 is about 3205.5327170378. The cubic root of 10275440 is about 217.4036389987.

The spelling of 10275440 in words is "ten million, two hundred seventy-five thousand, four hundred forty".