83181840 has 160 divisors (see below), whose sum is σ = 299504640. Its totient is φ = 18703872.

The previous prime is 83181817. The next prime is 83181851. The reversal of 83181840 is 4818138.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112191 + ... + 112929.

It is an arithmetic number, because the mean of its divisors is an integer number (1871904).

Almost surely, 2^83181840 is an apocalyptic number.

83181840 is a gapful number since it is divisible by the number (80) 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 83181840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149752320).

83181840 is an abundant number, since it is smaller than the sum of its proper divisors (216322800).

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

83181840 is a wasteful number, since it uses less digits than its factorization.

83181840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 83181840 is about 9120.4078856156. The cubic root of 83181840 is about 436.5253885819.

Adding to 83181840 its reverse (4818138), we get a palindrome (87999978).

The spelling of 83181840 in words is "eighty-three million, one hundred eighty-one thousand, eight hundred forty".