10727964 has 84 divisors (see below), whose sum is σ = 30420376. Its totient is φ = 3289248.

The previous prime is 10727947. The next prime is 10727987. The reversal of 10727964 is 46972701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 37767 + ... + 38049.

Almost surely, 2^10727964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10727964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210188).

10727964 is an abundant number, since it is smaller than the sum of its proper divisors (19692412).

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

10727964 is a wasteful number, since it uses less digits than its factorization.

10727964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 10727964 is about 3275.3570797701. The cubic root of 10727964 is about 220.5493433928.

The spelling of 10727964 in words is "ten million, seven hundred twenty-seven thousand, nine hundred sixty-four".