1610945664 has 64 divisors (see below), whose sum is σ = 4394763840. Its totient is φ = 522464256.

The previous prime is 1610945629. The next prime is 1610945689. The reversal of 1610945664 is 4665490161.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42484 + ... + 70899.

It is an arithmetic number, because the mean of its divisors is an integer number (68668185).

Almost surely, 2^1610945664 is an apocalyptic number.

It is an amenable number.

1610945664 is an abundant number, since it is smaller than the sum of its proper divisors (2783818176).

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

1610945664 is a wasteful number, since it uses less digits than its factorization.

1610945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113437 (or 113425 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1610945664 is about 40136.5875978514. The cubic root of 1610945664 is about 1172.2681460016.

The spelling of 1610945664 in words is "one billion, six hundred ten million, nine hundred forty-five thousand, six hundred sixty-four".