906608640 has 480 divisors, whose sum is σ = 3623768064. Its totient is φ = 188743680.

The previous prime is 906608627. The next prime is 906608723. The reversal of 906608640 is 46806609.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×906608640² = 1643878452245299200, which contains 22 as substring.

It is a congruent number.

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, 29245425 + ... + 29245455.

Almost surely, 2^906608640 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 906608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811884032).

906608640 is an abundant number, since it is smaller than the sum of its proper divisors (2717159424).

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

906608640 is a wasteful number, since it uses less digits than its factorization.

906608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 906608640 is about 30109.9425439505. The cubic root of 906608640 is about 967.8467986038.

The spelling of 906608640 in words is "nine hundred six million, six hundred eight thousand, six hundred forty".