10731960 has 128 divisors (see below), whose sum is σ = 37728000. Its totient is φ = 2706048.

The previous prime is 10731953. The next prime is 10731967. The reversal of 10731960 is 6913701.

It is an interprime number because it is at equal distance from previous prime (10731953) and next prime (10731967).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10731967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20259 + ... + 20781.

It is an arithmetic number, because the mean of its divisors is an integer number (294750).

Almost surely, 2^10731960 is an apocalyptic number.

10731960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10731960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18864000).

10731960 is an abundant number, since it is smaller than the sum of its proper divisors (26996040).

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

10731960 is a wasteful number, since it uses less digits than its factorization.

10731960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10731960 is about 3275.9670328012. The cubic root of 10731960 is about 220.5767237287.

The spelling of 10731960 in words is "ten million, seven hundred thirty-one thousand, nine hundred sixty".