10906920 has 64 divisors (see below), whose sum is σ = 36360000. Its totient is φ = 2908224.

The previous prime is 10906919. The next prime is 10906921. The reversal of 10906920 is 2960901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10906919) and next prime (10906921).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10906921) 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, 3970 + ... + 6129.

It is an arithmetic number, because the mean of its divisors is an integer number (568125).

Almost surely, 2^10906920 is an apocalyptic number.

10906920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10906920 is an abundant number, since it is smaller than the sum of its proper divisors (25453080).

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

10906920 is a wasteful number, since it uses less digits than its factorization.

10906920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10906920 is about 3302.5626413438. The cubic root of 10906920 is about 221.7689341615.

The spelling of 10906920 in words is "ten million, nine hundred six thousand, nine hundred twenty".