10536960 has 192 divisors, whose sum is σ = 39312000. Its totient is φ = 2408448.

The previous prime is 10536943. The next prime is 10536961. The reversal of 10536960 is 6963501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10536960² = 222055052083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 280 × 168 × 224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10536961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1505277 + ... + 1505283.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 2^10536960 is an apocalyptic number.

10536960 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 10536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

10536960 is an abundant number, since it is smaller than the sum of its proper divisors (28775040).

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

10536960 is an frugal number, since it uses more digits than its factorization.

10536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 10536960 is about 3246.0683911464. The cubic root of 10536960 is about 219.2325879055.

The spelling of 10536960 in words is "ten million, five hundred thirty-six thousand, nine hundred sixty".