82441464 has 64 divisors (see below), whose sum is σ = 238022400. Its totient is φ = 23307264.

The previous prime is 82441459. The next prime is 82441481. The reversal of 82441464 is 46414428.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13767 + ... + 18825.

It is an arithmetic number, because the mean of its divisors is an integer number (3719100).

Almost surely, 2^82441464 is an apocalyptic number.

82441464 is a gapful number since it is divisible by the number (84) 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 82441464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119011200).

82441464 is an abundant number, since it is smaller than the sum of its proper divisors (155580936).

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

82441464 is a wasteful number, since it uses less digits than its factorization.

82441464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5168 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 82441464 is about 9079.7281897643. The cubic root of 82441464 is about 435.2264008413.

The spelling of 82441464 in words is "eighty-two million, four hundred forty-one thousand, four hundred sixty-four".