906242688 has 256 divisors, whose sum is σ = 3009081600. Its totient is φ = 266416128.

The previous prime is 906242683. The next prime is 906242741. The reversal of 906242688 is 886242609.

906242688 is a `hidden beast` number, since 90 + 62 + 426 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (906242683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032906 + ... + 1033782.

It is an arithmetic number, because the mean of its divisors is an integer number (11754225).

Almost surely, 2^906242688 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 906242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504540800).

906242688 is an abundant number, since it is smaller than the sum of its proper divisors (2102838912).

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

906242688 is a wasteful number, since it uses less digits than its factorization.

906242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 906242688 is about 30103.8650010260. The cubic root of 906242688 is about 967.7165574971.

The spelling of 906242688 in words is "nine hundred six million, two hundred forty-two thousand, six hundred eighty-eight".