82023480 has 288 divisors, whose sum is σ = 336117600. Its totient is φ = 16980480.

The previous prime is 82023463. The next prime is 82023503. The reversal of 82023480 is 8432028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304786 + ... + 305054.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^82023480 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 82023480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

82023480 is an abundant number, since it is smaller than the sum of its proper divisors (254094120).

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

82023480 is a wasteful number, since it uses less digits than its factorization.

82023480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 297 counting only the distinct ones).

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

The square root of 82023480 is about 9056.6815114588. The cubic root of 82023480 is about 434.4896114591.

The spelling of 82023480 in words is "eighty-two million, twenty-three thousand, four hundred eighty".