10580772 has 24 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 3518368.

The previous prime is 10580771. The next prime is 10580809. The reversal of 10580772 is 27708501.

It is a happy number.

It is a super-2 number, since 2×10580772² = 223905472231968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10580771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5893 + ... + 7475.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^10580772 is an apocalyptic number.

10580772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10580772 is an abundant number, since it is smaller than the sum of its proper divisors (14167644).

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

10580772 is a wasteful number, since it uses less digits than its factorization.

10580772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 10580772 is about 3252.8098622576. The cubic root of 10580772 is about 219.5360193967.

The spelling of 10580772 in words is "ten million, five hundred eighty thousand, seven hundred seventy-two".