909394668 has 192 divisors, whose sum is σ = 3073029120. Its totient is φ = 225690624.

The previous prime is 909394627. The next prime is 909394687. The reversal of 909394668 is 866493909.

It is a happy number.

909394668 is a `hidden beast` number, since 90 + 93 + 9 + 466 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164355 + ... + 169797.

It is an arithmetic number, because the mean of its divisors is an integer number (16005360).

Almost surely, 2^909394668 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 909394668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536514560).

909394668 is an abundant number, since it is smaller than the sum of its proper divisors (2163634452).

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

909394668 is a wasteful number, since it uses less digits than its factorization.

909394668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5485 counting only the distinct ones).

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

The square root of 909394668 is about 30156.1713087056. The cubic root of 909394668 is about 968.8371895275.

The spelling of 909394668 in words is "nine hundred nine million, three hundred ninety-four thousand, six hundred sixty-eight".