906360 has 128 divisors (see below), whose sum is σ = 3386880. Its totient is φ = 188928.

The previous prime is 906349. The next prime is 906371. The reversal of 906360 is 63609.

It is an interprime number because it is at equal distance from previous prime (906349) and next prime (906371).

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

It is a self number, because there is not a number n which added to its sum of digits gives 906360.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10879 + ... + 10961.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁹⁰⁶³⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440).

906360 is an abundant number, since it is smaller than the sum of its proper divisors (2480520).

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

906360 is a wasteful number, since it uses less digits than its factorization.

906360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 906360 is about 952.0294113104. The cubic root of 906360 is about 96.7758312268.

Adding to 906360 its reverse (63609), we get a palindrome (969969).

The spelling of 906360 in words is "nine hundred six thousand, three hundred sixty".