82033600 has 168 divisors, whose sum is σ = 226771200. Its totient is φ = 28953600.

The previous prime is 82033561. The next prime is 82033607. The reversal of 82033600 is 633028.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82033607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038361 + ... + 1038439.

Almost surely, 2^82033600 is an apocalyptic number.

82033600 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 82033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113385600).

82033600 is an abundant number, since it is smaller than the sum of its proper divisors (144737600).

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

82033600 is a wasteful number, since it uses less digits than its factorization.

82033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 82033600 is about 9057.2401977644. The cubic root of 82033600 is about 434.5074797331.

Adding to 82033600 its reverse (633028), we get a palindrome (82666628).

The spelling of 82033600 in words is "eighty-two million, thirty-three thousand, six hundred".