82449600 has 168 divisors, whose sum is σ = 274960080. Its totient is φ = 21626880.

The previous prime is 82449593. The next prime is 82449611. The reversal of 82449600 is 694428.

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, 427104 + ... + 427296.

Almost surely, 2^82449600 is an apocalyptic number.

82449600 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 82449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137480040).

82449600 is an abundant number, since it is smaller than the sum of its proper divisors (192510480).

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

82449600 is a wasteful number, since it uses less digits than its factorization.

82449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 82449600 is about 9080.1762097439. The cubic root of 82449600 is about 435.2407176076.

The spelling of 82449600 in words is "eighty-two million, four hundred forty-nine thousand, six hundred".