906039216 has 80 divisors (see below), whose sum is σ = 2610209920. Its totient is φ = 300905280.

The previous prime is 906039193. The next prime is 906039217. The reversal of 906039216 is 612930609.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (906039217) 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, 118551 + ... + 125961.

It is an arithmetic number, because the mean of its divisors is an integer number (32627624).

Almost surely, 2^906039216 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 906039216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305104960).

906039216 is an abundant number, since it is smaller than the sum of its proper divisors (1704170704).

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

906039216 is a wasteful number, since it uses less digits than its factorization.

906039216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7711 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 906039216 is about 30100.4853117022. The cubic root of 906039216 is about 967.6441273176.

It can be divided in two parts, 90 and 6039216, that added together give a palindrome (6039306).

The spelling of 906039216 in words is "nine hundred six million, thirty-nine thousand, two hundred sixteen".