10580640 has 192 divisors, whose sum is σ = 39481344. Its totient is φ = 2331648.

The previous prime is 10580611. The next prime is 10580651. The reversal of 10580640 is 4608501.

10580640 = T₇₆₀ + T₇₆₁ + ... + T₇₉₄.

It is a super-2 number, since 2×10580640² = 223899885619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10580640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157887 + ... + 157953.

It is an arithmetic number, because the mean of its divisors is an integer number (205632).

Almost surely, 2^10580640 is an apocalyptic number.

10580640 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 10580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740672).

10580640 is an abundant number, since it is smaller than the sum of its proper divisors (28900704).

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

10580640 is a wasteful number, since it uses less digits than its factorization.

10580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10580640 is about 3252.7895720443. The cubic root of 10580640 is about 219.5351064553.

The spelling of 10580640 in words is "ten million, five hundred eighty thousand, six hundred forty".