663005406 has 128 divisors (see below), whose sum is σ = 1711964160. Its totient is φ = 166712832.

The previous prime is 663005393. The next prime is 663005407. The reversal of 663005406 is 604500366.

663005406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663005407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 771405 + ... + 772263.

It is an arithmetic number, because the mean of its divisors is an integer number (13374720).

Almost surely, 2^663005406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663005406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855982080).

663005406 is an abundant number, since it is smaller than the sum of its proper divisors (1048958754).

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

663005406 is a wasteful number, since it uses less digits than its factorization.

663005406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 663005406 is about 25748.8913547749. The cubic root of 663005406 is about 871.9783253247.

The spelling of 663005406 in words is "six hundred sixty-three million, five thousand, four hundred six".