82936000 has 112 divisors (see below), whose sum is σ = 234891072. Its totient is φ = 28416000.

The previous prime is 82935997. The next prime is 82936001. The reversal of 82936000 is 63928.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (28) 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 82936000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82936001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55260 + ... + 56740.

Almost surely, 2^82936000 is an apocalyptic number.

82936000 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 82936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117445536).

82936000 is an abundant number, since it is smaller than the sum of its proper divisors (151955072).

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

82936000 is a wasteful number, since it uses less digits than its factorization.

82936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 82936000 is about 9106.9204454634. The cubic root of 82936000 is about 436.0949208367.

Adding to 82936000 its reverse (63928), we get a palindrome (82999928).

The spelling of 82936000 in words is "eighty-two million, nine hundred thirty-six thousand".