82815408 has 180 divisors, whose sum is σ = 260186472. Its totient is φ = 24560640.

The previous prime is 82815407. The next prime is 82815413. The reversal of 82815408 is 80451828.

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 (82815401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 997735 + ... + 997817.

Almost surely, 2^82815408 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 82815408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130093236).

82815408 is an abundant number, since it is smaller than the sum of its proper divisors (177371064).

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

82815408 is a wasteful number, since it uses less digits than its factorization.

82815408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 82815408 is about 9100.2971380060. The cubic root of 82815408 is about 435.8834522812.

It can be divided in two parts, 8281 and 5408, that added together give a square (13689 = 117²).

The spelling of 82815408 in words is "eighty-two million, eight hundred fifteen thousand, four hundred eight".