1106420 has 36 divisors (see below), whose sum is σ = 2705220. Its totient is φ = 379008.

The previous prime is 1106419. The next prime is 1106423. The reversal of 1106420 is 246011.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 879844 = 476^2 + 938^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1106395 and 1106404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416 + ... + 1544.

It is an arithmetic number, because the mean of its divisors is an integer number (75145).

2^1106420 is an apocalyptic number.

1106420 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 1106420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352610).

1106420 is an abundant number, since it is smaller than the sum of its proper divisors (1598800).

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

1106420 is a wasteful number, since it uses less digits than its factorization.

1106420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1106420 is about 1051.8650103507. The cubic root of 1106420 is about 103.4284475151.

The spelling of 1106420 in words is "one million, one hundred six thousand, four hundred twenty".