906396786 has 192 divisors, whose sum is σ = 2329067520. Its totient is φ = 252771840.

The previous prime is 906396781. The next prime is 906396791. The reversal of 906396786 is 687693609.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (906396781) and next prime (906396791).

It is a super-2 number, since 2×906396786² = 1643110267342259592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (906396781) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8470945 + ... + 8471051.

It is an arithmetic number, because the mean of its divisors is an integer number (12130560).

Almost surely, 2^906396786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906396786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164533760).

906396786 is an abundant number, since it is smaller than the sum of its proper divisors (1422670734).

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

906396786 is a wasteful number, since it uses less digits than its factorization.

906396786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 906396786 is about 30106.4243310294. The cubic root of 906396786 is about 967.7714047385.

The spelling of 906396786 in words is "nine hundred six million, three hundred ninety-six thousand, seven hundred eighty-six".