82741008 has 120 divisors (see below), whose sum is σ = 251507712. Its totient is φ = 23369472.

The previous prime is 82741007. The next prime is 82741049. The reversal of 82741008 is 80014728.

It is not an unprimeable number, because it can be changed into a prime (82741007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298566 + ... + 298842.

Almost surely, 2^82741008 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 82741008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125753856).

82741008 is an abundant number, since it is smaller than the sum of its proper divisors (168766704).

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

82741008 is a wasteful number, since it uses less digits than its factorization.

82741008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 82741008 is about 9096.2084408835. The cubic root of 82741008 is about 435.7528829989.

The spelling of 82741008 in words is "eighty-two million, seven hundred forty-one thousand, eight".