10587440 has 40 divisors (see below), whose sum is σ = 24909120. Its totient is φ = 4184576.

The previous prime is 10587419. The next prime is 10587443. The reversal of 10587440 is 4478501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10587440² = 224187771507200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10587443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6377 + ... + 7863.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 2^10587440 is an apocalyptic number.

10587440 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 10587440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454560).

10587440 is an abundant number, since it is smaller than the sum of its proper divisors (14321680).

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

10587440 is a wasteful number, since it uses less digits than its factorization.

10587440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 10587440 is about 3253.8346608271. The cubic root of 10587440 is about 219.5821268949.

The spelling of 10587440 in words is "ten million, five hundred eighty-seven thousand, four hundred forty".