10930920 has 288 divisors, whose sum is σ = 45061920. Its totient is φ = 2096640.

The previous prime is 10930903. The next prime is 10930963. The reversal of 10930920 is 2903901.

It is a happy number.

10930920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 840834 + ... + 840846.

It is an arithmetic number, because the mean of its divisors is an integer number (156465).

Almost surely, 2^10930920 is an apocalyptic number.

10930920 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 10930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22530960).

10930920 is an abundant number, since it is smaller than the sum of its proper divisors (34131000).

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

10930920 is a wasteful number, since it uses less digits than its factorization.

10930920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 10930920 is about 3306.1941866745. The cubic root of 10930920 is about 221.9314779189.

It can be divided in two parts, 10 and 930920, that added together give a triangular number (930930 = T₁₃₆₄).

The spelling of 10930920 in words is "ten million, nine hundred thirty thousand, nine hundred twenty".