82542560 has 96 divisors (see below), whose sum is σ = 204083712. Its totient is φ = 31518720.

The previous prime is 82542557. The next prime is 82542563. The reversal of 82542560 is 6524528.

It is an interprime number because it is at equal distance from previous prime (82542557) and next prime (82542563).

It is a super-2 number, since 2×82542560² = 13626548422707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82542563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432065 + ... + 432255.

It is an arithmetic number, because the mean of its divisors is an integer number (2125872).

Almost surely, 2^82542560 is an apocalyptic number.

82542560 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 82542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102041856).

82542560 is an abundant number, since it is smaller than the sum of its proper divisors (121541152).

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

82542560 is a wasteful number, since it uses less digits than its factorization.

82542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 82542560 is about 9085.2936111058. The cubic root of 82542560 is about 435.4042307547.

The spelling of 82542560 in words is "eighty-two million, five hundred forty-two thousand, five hundred sixty".