161966976 has 64 divisors (see below), whose sum is σ = 432480000. Its totient is φ = 53706240.

The previous prime is 161966969. The next prime is 161966983. The reversal of 161966976 is 679669161.

It is an interprime number because it is at equal distance from previous prime (161966969) and next prime (161966983).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80025 + ... + 82023.

It is an arithmetic number, because the mean of its divisors is an integer number (6757500).

Almost surely, 2^161966976 is an apocalyptic number.

161966976 is a gapful number since it is divisible by the number (16) 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 161966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216240000).

161966976 is an abundant number, since it is smaller than the sum of its proper divisors (270513024).

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

161966976 is a wasteful number, since it uses less digits than its factorization.

161966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2215 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The square root of 161966976 is about 12726.6246899954. The cubic root of 161966976 is about 545.0991329925.

The spelling of 161966976 in words is "one hundred sixty-one million, nine hundred sixty-six thousand, nine hundred seventy-six".