82932480 has 216 divisors, whose sum is σ = 300369888. Its totient is φ = 21086208.

The previous prime is 82932467. The next prime is 82932481. The reversal of 82932480 is 8423928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82932481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264804 + ... + 265116.

Almost surely, 2^82932480 is an apocalyptic number.

82932480 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 82932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150184944).

82932480 is an abundant number, since it is smaller than the sum of its proper divisors (217437408).

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

82932480 is a wasteful number, since it uses less digits than its factorization.

82932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 82932480 is about 9106.7271837911. The cubic root of 82932480 is about 436.0887511161.

The spelling of 82932480 in words is "eighty-two million, nine hundred thirty-two thousand, four hundred eighty".