182161980 has 384 divisors, whose sum is σ = 763176960. Its totient is φ = 34836480.

The previous prime is 182161979. The next prime is 182162003. The reversal of 182161980 is 89161281.

182161980 is a `hidden beast` number, since 18 + 21 + 619 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540372 + ... + 540708.

It is an arithmetic number, because the mean of its divisors is an integer number (1987440).

Almost surely, 2^182161980 is an apocalyptic number.

182161980 is a gapful number since it is divisible by the number (10) 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 182161980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381588480).

182161980 is an abundant number, since it is smaller than the sum of its proper divisors (581014980).

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

182161980 is a wasteful number, since it uses less digits than its factorization.

182161980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 182161980 is about 13496.7396062901. The cubic root of 182161980 is about 566.8731834742.

The spelling of 182161980 in words is "one hundred eighty-two million, one hundred sixty-one thousand, nine hundred eighty".