10509864 has 32 divisors (see below), whose sum is σ = 26460000. Its totient is φ = 3478592.

The previous prime is 10509841. The next prime is 10509871. The reversal of 10509864 is 46890501.

It is a super-2 number, since 2×10509864² = 220914482596992, which contains 22 as substring.

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, 2107 + ... + 5045.

It is an arithmetic number, because the mean of its divisors is an integer number (826875).

Almost surely, 2^10509864 is an apocalyptic number.

It is an amenable number.

10509864 is an abundant number, since it is smaller than the sum of its proper divisors (15950136).

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

10509864 is a wasteful number, since it uses less digits than its factorization.

10509864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10509864 is about 3241.8920401519. The cubic root of 10509864 is about 219.0445062900.

The spelling of 10509864 in words is "ten million, five hundred nine thousand, eight hundred sixty-four".