82032480 has 192 divisors, whose sum is σ = 304274880. Its totient is φ = 20570112.

The previous prime is 82032473. The next prime is 82032487. The reversal of 82032480 is 8423028.

It is an interprime number because it is at equal distance from previous prime (82032473) and next prime (82032487).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82032487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72882 + ... + 73998.

It is an arithmetic number, because the mean of its divisors is an integer number (1584765).

Almost surely, 2^82032480 is an apocalyptic number.

82032480 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 82032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152137440).

82032480 is an abundant number, since it is smaller than the sum of its proper divisors (222242400).

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

82032480 is a wasteful number, since it uses less digits than its factorization.

82032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82032480 is about 9057.1783685649. The cubic root of 82032480 is about 434.5055022890.

The spelling of 82032480 in words is "eighty-two million, thirty-two thousand, four hundred eighty".