10727936 has 40 divisors (see below), whose sum is σ = 22391424. Its totient is φ = 5125120.

The previous prime is 10727929. The next prime is 10727947. The reversal of 10727936 is 63972701.

It is a super-2 number, since 2×10727936² = 230177221640192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10727896 and 10727905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11321 + ... + 12231.

Almost surely, 2^10727936 is an apocalyptic number.

10727936 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 10727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195712).

10727936 is an abundant number, since it is smaller than the sum of its proper divisors (11663488).

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

10727936 is an frugal number, since it uses more digits than its factorization.

With its successor (10727937) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (936).

10727936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 10727936 is about 3275.3528054242. The cubic root of 10727936 is about 220.5491515146.

The spelling of 10727936 in words is "ten million, seven hundred twenty-seven thousand, nine hundred thirty-six".