906827994 has 64 divisors (see below), whose sum is σ = 2057472000. Its totient is φ = 295974000.

The previous prime is 906827947. The next prime is 906828023. The reversal of 906827994 is 499728609.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 906827994.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207119 + ... + 1207869.

It is an arithmetic number, because the mean of its divisors is an integer number (32148000).

Almost surely, 2^906827994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906827994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028736000).

906827994 is an abundant number, since it is smaller than the sum of its proper divisors (1150644006).

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

906827994 is a wasteful number, since it uses less digits than its factorization.

906827994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 906827994 is about 30113.5848746044. The cubic root of 906827994 is about 967.9248491677.

The spelling of 906827994 in words is "nine hundred six million, eight hundred twenty-seven thousand, nine hundred ninety-four".