10580020 has 24 divisors (see below), whose sum is σ = 24238368. Its totient is φ = 3847200.

The previous prime is 10579999. The next prime is 10580047. The reversal of 10580020 is 2008501.

It is a happy number.

It is a super-2 number, since 2×10580020² = 223873646400800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10579976 and 10580003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23826 + ... + 24265.

It is an arithmetic number, because the mean of its divisors is an integer number (1009932).

Almost surely, 2^10580020 is an apocalyptic number.

10580020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10580020 is an abundant number, since it is smaller than the sum of its proper divisors (13658348).

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

10580020 is a wasteful number, since it uses less digits than its factorization.

10580020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48111 (or 48109 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10580020 is about 3252.6942678340. The cubic root of 10580020 is about 219.5308182955.

Adding to 10580020 its reverse (2008501), we get a palindrome (12588521).

The spelling of 10580020 in words is "ten million, five hundred eighty thousand, twenty".