10506960 has 60 divisors (see below), whose sum is σ = 35288292. Its totient is φ = 2801664.

The previous prime is 10506959. The next prime is 10506983. The reversal of 10506960 is 6960501.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 8363664 = 1464^2 + 2892^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10506960² = 220792416883200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6577 + ... + 8016.

Almost surely, 2^10506960 is an apocalyptic number.

10506960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506960 is an abundant number, since it is smaller than the sum of its proper divisors (24781332).

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

10506960 is a wasteful number, since it uses less digits than its factorization.

10506960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14612 (or 14603 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10506960 is about 3241.4441226096. Note that the first 3 decimals coincide. The cubic root of 10506960 is about 219.0243295670.

The spelling of 10506960 in words is "ten million, five hundred six thousand, nine hundred sixty".