82041600 has 108 divisors (see below), whose sum is σ = 270817736. Its totient is φ = 21872640.

The previous prime is 82041587. The next prime is 82041611. The reversal of 82041600 is 614028.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17064 + ... + 21336.

Almost surely, 2^82041600 is an apocalyptic number.

82041600 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 82041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408868).

82041600 is an abundant number, since it is smaller than the sum of its proper divisors (188776136).

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

82041600 is a wasteful number, since it uses less digits than its factorization.

82041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82041600 is about 9057.6818226299. The cubic root of 82041600 is about 434.5216038110.

Adding to 82041600 its reverse (614028), we get a palindrome (82655628).

The spelling of 82041600 in words is "eighty-two million, forty-one thousand, six hundred".