10587460 has 48 divisors (see below), whose sum is σ = 24526656. Its totient is φ = 3814272.

The previous prime is 10587457. The next prime is 10587463. The reversal of 10587460 is 6478501.

It is an interprime number because it is at equal distance from previous prime (10587457) and next prime (10587463).

It is a super-2 number, since 2×10587460² = 224188618503200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10587463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10707 + ... + 11653.

It is an arithmetic number, because the mean of its divisors is an integer number (510972).

Almost surely, 2^10587460 is an apocalyptic number.

10587460 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 10587460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12263328).

10587460 is an abundant number, since it is smaller than the sum of its proper divisors (13939196).

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

10587460 is a wasteful number, since it uses less digits than its factorization.

10587460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 10587460 is about 3253.8377341226. The cubic root of 10587460 is about 219.5822651606.

The spelling of 10587460 in words is "ten million, five hundred eighty-seven thousand, four hundred sixty".