10956920 has 64 divisors (see below), whose sum is σ = 27972000. Its totient is φ = 3829248.

The previous prime is 10956917. The next prime is 10956929. The reversal of 10956920 is 2965901.

10956920 = T₄₃₂ + T₄₃₃ + ... + T₅₂₆.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10956929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9326 + ... + 10434.

Almost surely, 2^10956920 is an apocalyptic number.

10956920 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 10956920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986000).

10956920 is an abundant number, since it is smaller than the sum of its proper divisors (17015080).

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

10956920 is a wasteful number, since it uses less digits than its factorization.

10956920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 10956920 is about 3310.1238647519. The cubic root of 10956920 is about 222.1072987250.

The spelling of 10956920 in words is "ten million, nine hundred fifty-six thousand, nine hundred twenty".