664031016 has 192 divisors, whose sum is σ = 2097576000. Its totient is φ = 187545600.

The previous prime is 664030987. The next prime is 664031059. The reversal of 664031016 is 610130466.

664031016 is a `hidden beast` number, since 6 + 640 + 3 + 1 + 0 + 16 = 666.

It is a super-3 number, since 3×664031016³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2005971 + ... + 2006301.

It is an arithmetic number, because the mean of its divisors is an integer number (10924875).

Almost surely, 2^664031016 is an apocalyptic number.

664031016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664031016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048788000).

664031016 is an abundant number, since it is smaller than the sum of its proper divisors (1433544984).

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

664031016 is a wasteful number, since it uses less digits than its factorization.

664031016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 664031016 is about 25768.7992735401. The cubic root of 664031016 is about 872.4277178128.

The spelling of 664031016 in words is "six hundred sixty-four million, thirty-one thousand, sixteen".