10920420 has 168 divisors, whose sum is σ = 39662784. Its totient is φ = 2472768.

The previous prime is 10920367. The next prime is 10920431. The reversal of 10920420 is 2402901.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10920393 and 10920402.

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 55 ways as a sum of consecutive naturals, for example, 102007 + ... + 102113.

It is an arithmetic number, because the mean of its divisors is an integer number (236088).

Almost surely, 2^10920420 is an apocalyptic number.

10920420 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 10920420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831392).

10920420 is an abundant number, since it is smaller than the sum of its proper divisors (28742364).

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

10920420 is a wasteful number, since it uses less digits than its factorization.

10920420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10920420 is about 3304.6058766516. The cubic root of 10920420 is about 221.8603943305.

The spelling of 10920420 in words is "ten million, nine hundred twenty thousand, four hundred twenty".