83161600 has 120 divisors (see below), whose sum is σ = 211208580. Its totient is φ = 32440320.

The previous prime is 83161567. The next prime is 83161627. The reversal of 83161600 is 616138.

It can be written as a sum of positive squares in 6 ways, for example, as 19927296 + 63234304 = 4464^2 + 7952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 934356 + ... + 934444.

Almost surely, 2^83161600 is an apocalyptic number.

83161600 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 83161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105604290).

83161600 is an abundant number, since it is smaller than the sum of its proper divisors (128046980).

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

83161600 is an equidigital number, since it uses as much as digits as its factorization.

83161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 83161600 is about 9119.2982186131. The cubic root of 83161600 is about 436.4899802501.

Adding to 83161600 its reverse (616138), we get a palindrome (83777738).

The spelling of 83161600 in words is "eighty-three million, one hundred sixty-one thousand, six hundred".