162689664 has 64 divisors (see below), whose sum is σ = 434520000. Its totient is φ = 53932032.

The previous prime is 162689641. The next prime is 162689671. The reversal of 162689664 is 466986261.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75352 + ... + 77480.

It is an arithmetic number, because the mean of its divisors is an integer number (6789375).

Almost surely, 2^162689664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217260000).

162689664 is an abundant number, since it is smaller than the sum of its proper divisors (271830336).

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

162689664 is a wasteful number, since it uses less digits than its factorization.

162689664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2333 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 162689664 is about 12754.9858486789. The cubic root of 162689664 is about 545.9086645649.

The spelling of 162689664 in words is "one hundred sixty-two million, six hundred eighty-nine thousand, six hundred sixty-four".