10585440 has 72 divisors (see below), whose sum is σ = 36127728. Its totient is φ = 2822400.

The previous prime is 10585433. The next prime is 10585453. The reversal of 10585440 is 4458501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10585440² = 224103079987200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2236 + ... + 5115.

It is an arithmetic number, because the mean of its divisors is an integer number (501774).

Almost surely, 2^10585440 is an apocalyptic number.

10585440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10585440 is an abundant number, since it is smaller than the sum of its proper divisors (25542288).

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

10585440 is a wasteful number, since it uses less digits than its factorization.

10585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7372 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 10585440 is about 3253.5273166211. The cubic root of 10585440 is about 219.5682994443.

It can be divided in two parts, 10585 and 440, that added together give a square (11025 = 105²).

The spelling of 10585440 in words is "ten million, five hundred eighty-five thousand, four hundred forty".