10736960 has 112 divisors (see below), whose sum is σ = 28803600. Its totient is φ = 3784704.

The previous prime is 10736959. The next prime is 10736981. The reversal of 10736960 is 6963701.

It can be written as a sum of positive squares in 8 ways, for example, as 1784896 + 8952064 = 1336^2 + 2992^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120596 + ... + 120684.

It is an arithmetic number, because the mean of its divisors is an integer number (257175).

Almost surely, 2^10736960 is an apocalyptic number.

10736960 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 10736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401800).

10736960 is an abundant number, since it is smaller than the sum of its proper divisors (18066640).

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

10736960 is a wasteful number, since it uses less digits than its factorization.

10736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 10736960 is about 3276.7300773790. The cubic root of 10736960 is about 220.6109738373.

The spelling of 10736960 in words is "ten million, seven hundred thirty-six thousand, nine hundred sixty".