82426200 has 96 divisors (see below), whose sum is σ = 270585360. Its totient is φ = 20684800.

The previous prime is 82426171. The next prime is 82426291. The reversal of 82426200 is 262428.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6160 + ... + 14240.

Almost surely, 2^82426200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82426200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135292680).

82426200 is an abundant number, since it is smaller than the sum of its proper divisors (188159160).

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

82426200 is a wasteful number, since it uses less digits than its factorization.

82426200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 82426200 is about 9078.8875970573. The cubic root of 82426200 is about 435.1995385259.

Adding to 82426200 its reverse (262428), we get a palindrome (82688628).

The spelling of 82426200 in words is "eighty-two million, four hundred twenty-six thousand, two hundred".