1667009664 has 96 divisors (see below), whose sum is σ = 5079229740. Its totient is φ = 522977280.

The previous prime is 1667009657. The next prime is 1667009719. The reversal of 1667009664 is 4669007661.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1410753600 + 256256064 = 37560^2 + 16008^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22977 + ... + 62144.

Almost surely, 2^1667009664 is an apocalyptic number.

It is an amenable number.

1667009664 is an abundant number, since it is smaller than the sum of its proper divisors (3412220076).

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

1667009664 is a wasteful number, since it uses less digits than its factorization.

1667009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85158 (or 85143 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1667009664 is about 40829.0296725259. The cubic root of 1667009664 is about 1185.7124295791.

The spelling of 1667009664 in words is "one billion, six hundred sixty-seven million, nine thousand, six hundred sixty-four".