82641408 has 80 divisors (see below), whose sum is σ = 222146496. Its totient is φ = 27299840.

The previous prime is 82641407. The next prime is 82641409. The reversal of 82641408 is 80414628.

It is an interprime number because it is at equal distance from previous prime (82641407) and next prime (82641409).

It is not an unprimeable number, because it can be changed into a prime (82641407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265573 + ... + 265883.

Almost surely, 2^82641408 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 82641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111073248).

82641408 is an abundant number, since it is smaller than the sum of its proper divisors (139505088).

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

82641408 is a wasteful number, since it uses less digits than its factorization.

82641408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 82641408 is about 9090.7319837294. The cubic root of 82641408 is about 435.5779660519.

The spelling of 82641408 in words is "eighty-two million, six hundred forty-one thousand, four hundred eight".