10580064 has 96 divisors (see below), whose sum is σ = 31135104. Its totient is φ = 3118080.

The previous prime is 10580047. The next prime is 10580071. The reversal of 10580064 is 46008501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10580064² = 223875508488192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45292 + ... + 45524.

It is an arithmetic number, because the mean of its divisors is an integer number (324324).

Almost surely, 2^10580064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10580064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552).

10580064 is an abundant number, since it is smaller than the sum of its proper divisors (20555040).

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

10580064 is a wasteful number, since it uses less digits than its factorization.

10580064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

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

The square root of 10580064 is about 3252.7010314506. The cubic root of 10580064 is about 219.5311226221.

Adding to 10580064 its reverse (46008501), we get a palindrome (56588565).

The spelling of 10580064 in words is "ten million, five hundred eighty thousand, sixty-four".