906120 has 64 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 241344.

The previous prime is 906119. The next prime is 906121. The reversal of 906120 is 21609.

906120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (906119) and next prime (906121).

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 = 906093 and 906102.

It is not an unprimeable number, because it can be changed into a prime (906121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁹⁰⁶¹²⁰ is an apocalyptic number.

906120 is a gapful number since it is divisible by the number (90) 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 906120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

906120 is an abundant number, since it is smaller than the sum of its proper divisors (2117880).

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

906120 is a wasteful number, since it uses less digits than its factorization.

906120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 906120 is about 951.9033564391. The cubic root of 906120 is about 96.7672885396.

Adding to 906120 its reverse (21609), we get a palindrome (927729).

The spelling of 906120 in words is "nine hundred six thousand, one hundred twenty".