906216 has 32 divisors (see below), whose sum is σ = 2306400. Its totient is φ = 296640.

The previous prime is 906211. The next prime is 906229. The reversal of 906216 is 612609.

It is a super-3 number, since 3×906216³ = 2232628333647257088, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (906211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1155 + ... + 1773.

It is an arithmetic number, because the mean of its divisors is an integer number (72075).

2⁹⁰⁶²¹⁶ 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 906216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153200).

906216 is an abundant number, since it is smaller than the sum of its proper divisors (1400184).

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

906216 is a wasteful number, since it uses less digits than its factorization.

906216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 906216 is about 951.9537803906. The cubic root of 906216 is about 96.7707057954.

The spelling of 906216 in words is "nine hundred six thousand, two hundred sixteen".