162979968 has 64 divisors (see below), whose sum is σ = 444654720. Its totient is φ = 52853760.

The previous prime is 162979937. The next prime is 162980011. The reversal of 162979968 is 869979261.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8473 + ... + 19943.

It is an arithmetic number, because the mean of its divisors is an integer number (6947730).

Almost surely, 2^162979968 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 162979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222327360).

162979968 is an abundant number, since it is smaller than the sum of its proper divisors (281674752).

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

162979968 is a wasteful number, since it uses less digits than its factorization.

162979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11513 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 57.

The square root of 162979968 is about 12766.3607970322. The cubic root of 162979968 is about 546.2331787240.

The spelling of 162979968 in words is "one hundred sixty-two million, nine hundred seventy-nine thousand, nine hundred sixty-eight".