10580400 has 90 divisors (see below), whose sum is σ = 36729420. Its totient is φ = 2820480.

The previous prime is 10580399. The next prime is 10580413. The reversal of 10580400 is 408501.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×10580400² = 223889728320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2131 + ... + 5069.

Almost surely, 2^10580400 is an apocalyptic number.

10580400 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 10580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364710).

10580400 is an abundant number, since it is smaller than the sum of its proper divisors (26149020).

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

10580400 is a wasteful number, since it uses less digits than its factorization.

10580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10580400 is about 3252.7526804232. The cubic root of 10580400 is about 219.5334465424.

Adding to 10580400 its reverse (408501), we get a palindrome (10988901).

The spelling of 10580400 in words is "ten million, five hundred eighty thousand, four hundred".