82432896 has 192 divisors, whose sum is σ = 275118480. Its totient is φ = 21676032.

The previous prime is 82432891. The next prime is 82432921. The reversal of 82432896 is 69823428.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82432891) 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, 244440 + ... + 244776.

Almost surely, 2^82432896 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 82432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137559240).

82432896 is an abundant number, since it is smaller than the sum of its proper divisors (192685584).

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

82432896 is a wasteful number, since it uses less digits than its factorization.

82432896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 82432896 is about 9079.2563572134. The cubic root of 82432896 is about 435.2113228744.

The spelling of 82432896 in words is "eighty-two million, four hundred thirty-two thousand, eight hundred ninety-six".