82054480 has 80 divisors (see below), whose sum is σ = 197487360. Its totient is φ = 31689216.

The previous prime is 82054463. The next prime is 82054507. The reversal of 82054480 is 8445028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522562 + ... + 522718.

It is an arithmetic number, because the mean of its divisors is an integer number (2468592).

Almost surely, 2^82054480 is an apocalyptic number.

82054480 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 82054480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98743680).

82054480 is an abundant number, since it is smaller than the sum of its proper divisors (115432880).

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

82054480 is a wasteful number, since it uses less digits than its factorization.

82054480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 82054480 is about 9058.3927934264. The cubic root of 82054480 is about 434.5443416472.

The spelling of 82054480 in words is "eighty-two million, fifty-four thousand, four hundred eighty".