82545408 has 108 divisors (see below), whose sum is σ = 259714728. Its totient is φ = 25006080.

The previous prime is 82545403. The next prime is 82545427. The reversal of 82545408 is 80454528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82545403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23716 + ... + 26972.

It is an arithmetic number, because the mean of its divisors is an integer number (2404766).

Almost surely, 2^82545408 is an apocalyptic number.

82545408 is a gapful number since it is divisible by the number (88) 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 82545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129857364).

82545408 is an abundant number, since it is smaller than the sum of its proper divisors (177169320).

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

82545408 is a wasteful number, since it uses less digits than its factorization.

82545408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 82545408 is about 9085.4503465706. The cubic root of 82545408 is about 435.4092383411.

It can be divided in two parts, 82 and 545408, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 82545408 in words is "eighty-two million, five hundred forty-five thousand, four hundred eight".