906491664 has 135 divisors (see below), whose sum is σ = 2761383807. Its totient is φ = 277475328.

The previous prime is 906491627. The next prime is 906491687. The reversal of 906491664 is 466194609.

The square root of 906491664 is 30108.

It is a perfect power (a square), and thus also a powerful number.

906491664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 341954064 + 564537600 = 18492^2 + 23760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4696752 + ... + 4696944.

Almost surely, 2^906491664 is an apocalyptic number.

906491664 is the 30108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906491664

906491664 is an abundant number, since it is smaller than the sum of its proper divisors (1854892143).

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

906491664 is a wasteful number, since it uses less digits than its factorization.

906491664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The cubic root of 906491664 is about 967.8051710438.

The spelling of 906491664 in words is "nine hundred six million, four hundred ninety-one thousand, six hundred sixty-four".