10580016 has 40 divisors (see below), whose sum is σ = 27480384. Its totient is φ = 3507520.

The previous prime is 10579999. The next prime is 10580047. The reversal of 10580016 is 61008501.

It is a super-2 number, since 2×10580016² = 223873477120512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10579974 and 10580001.

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, 10411 + ... + 11381.

Almost surely, 2^10580016 is an apocalyptic number.

10580016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10580016 is an abundant number, since it is smaller than the sum of its proper divisors (16900368).

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

10580016 is a wasteful number, since it uses less digits than its factorization.

10580016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10580016 is about 3252.6936529590. The cubic root of 10580016 is about 219.5307906294.

Adding to 10580016 its reverse (61008501), we get a palindrome (71588517).

The spelling of 10580016 in words is "ten million, five hundred eighty thousand, sixteen".