82548480 has 288 divisors, whose sum is σ = 313173504. Its totient is φ = 18137088.

The previous prime is 82548469. The next prime is 82548491. The reversal of 82548480 is 8484528.

It is an interprime number because it is at equal distance from previous prime (82548469) and next prime (82548491).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994519 + ... + 994601.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 2^82548480 is an apocalyptic number.

82548480 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 82548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752).

82548480 is an abundant number, since it is smaller than the sum of its proper divisors (230625024).

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

82548480 is a wasteful number, since it uses less digits than its factorization.

82548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 82548480 is about 9085.6194065127. The cubic root of 82548480 is about 435.4146396534.

It can be divided in two parts, 82548 and 480, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82548480 in words is "eighty-two million, five hundred forty-eight thousand, four hundred eighty".