82498400 has 36 divisors (see below), whose sum is σ = 201401172. Its totient is φ = 32999040.

The previous prime is 82498393. The next prime is 82498421. The reversal of 82498400 is 489428.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50762 + ... + 52361.

It is an arithmetic number, because the mean of its divisors is an integer number (5594477).

Almost surely, 2^82498400 is an apocalyptic number.

82498400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82498400 is an abundant number, since it is smaller than the sum of its proper divisors (118902772).

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

82498400 is a wasteful number, since it uses less digits than its factorization.

82498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103143 (or 103130 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 82498400 is about 9082.8629847642. The cubic root of 82498400 is about 435.3265702899.

The spelling of 82498400 in words is "eighty-two million, four hundred ninety-eight thousand, four hundred".