846993906 has 96 divisors (see below), whose sum is σ = 2123971200. Its totient is φ = 241401600.

The previous prime is 846993887. The next prime is 846993943. The reversal of 846993906 is 609399648.

It is a happy number.

846993906 is a `hidden beast` number, since 8 + 469 + 93 + 90 + 6 = 666.

It is a super-2 number, since 2×846993906² = 1434797353602273672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276270 + ... + 279318.

It is an arithmetic number, because the mean of its divisors is an integer number (22124700).

Almost surely, 2^846993906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846993906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061985600).

846993906 is an abundant number, since it is smaller than the sum of its proper divisors (1276977294).

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

846993906 is a wasteful number, since it uses less digits than its factorization.

846993906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 846993906 is about 29103.1597253632. The cubic root of 846993906 is about 946.1502211579.

The spelling of 846993906 in words is "eight hundred forty-six million, nine hundred ninety-three thousand, nine hundred six".