906279012 has 72 divisors (see below), whose sum is σ = 2342503800. Its totient is φ = 295326720.

The previous prime is 906279007. The next prime is 906279019. The reversal of 906279012 is 210972609.

It can be written as a sum of positive squares in 4 ways, for example, as 170459136 + 735819876 = 13056^2 + 27126^2 .

It is a super-2 number, since 2×906279012² = 1642683295183392288, which contains 22 as substring.

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 (906279019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665212 + ... + 666572.

It is an arithmetic number, because the mean of its divisors is an integer number (32534775).

Almost surely, 2^906279012 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 906279012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171251900).

906279012 is an abundant number, since it is smaller than the sum of its proper divisors (1436224788).

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

906279012 is a wasteful number, since it uses less digits than its factorization.

906279012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 906279012 is about 30104.4683062166. The cubic root of 906279012 is about 967.7294866558.

The spelling of 906279012 in words is "nine hundred six million, two hundred seventy-nine thousand, twelve".