161683872 has 96 divisors (see below), whose sum is σ = 513620352. Its totient is φ = 43474944.

The previous prime is 161683811. The next prime is 161683891. The reversal of 161683872 is 278386161.

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

It is a super-2 number, since 2×161683872² = 52283348929824768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 4348 + ... + 18500.

It is an arithmetic number, because the mean of its divisors is an integer number (5350212).

Almost surely, 2^161683872 is an apocalyptic number.

161683872 is a gapful number since it is divisible by the number (12) 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 161683872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256810176).

161683872 is an abundant number, since it is smaller than the sum of its proper divisors (351936480).

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

161683872 is a wasteful number, since it uses less digits than its factorization.

161683872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14190 (or 14182 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 161683872 is about 12715.4973162673. The cubic root of 161683872 is about 544.7813526881.

The spelling of 161683872 in words is "one hundred sixty-one million, six hundred eighty-three thousand, eight hundred seventy-two".