10611920 has 80 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 3724800.

The previous prime is 10611919. The next prime is 10611949. The reversal of 10611920 is 2911601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10611920² = 225225692172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10611892 and 10611901.

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 15 ways as a sum of consecutive naturals, for example, 27086 + ... + 27474.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 2^10611920 is an apocalyptic number.

10611920 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 10611920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

10611920 is an abundant number, since it is smaller than the sum of its proper divisors (17243440).

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

10611920 is a wasteful number, since it uses less digits than its factorization.

10611920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 10611920 is about 3257.5942043170. The cubic root of 10611920 is about 219.7512339642.

The spelling of 10611920 in words is "ten million, six hundred eleven thousand, nine hundred twenty".