10961936 has 40 divisors (see below), whose sum is σ = 22632480. Its totient is φ = 5128704.

The previous prime is 10961933. The next prime is 10961959. The reversal of 10961936 is 63916901.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10961896 and 10961905.

It is not an unprimeable number, because it can be changed into a prime (10961933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32360 + ... + 32696.

It is an arithmetic number, because the mean of its divisors is an integer number (565812).

Almost surely, 2^10961936 is an apocalyptic number.

10961936 is a gapful number since it is divisible by the number (16) 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 10961936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11316240).

10961936 is an abundant number, since it is smaller than the sum of its proper divisors (11670544).

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

10961936 is a wasteful number, since it uses less digits than its factorization.

10961936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 10961936 is about 3310.8814536313. The cubic root of 10961936 is about 222.1411866013.

The spelling of 10961936 in words is "ten million, nine hundred sixty-one thousand, nine hundred thirty-six".