82643544 has 64 divisors (see below), whose sum is σ = 231122400. Its totient is φ = 27361152.

The previous prime is 82643537. The next prime is 82643557. The reversal of 82643544 is 44534628.

82643544 is a `hidden beast` number, since 8 + 2 + 643 + 5 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82643499 and 82643508.

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, 32694 + ... + 35130.

Almost surely, 2^82643544 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 82643544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115561200).

82643544 is an abundant number, since it is smaller than the sum of its proper divisors (148478856).

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

82643544 is a wasteful number, since it uses less digits than its factorization.

82643544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2599 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 82643544 is about 9090.8494652590. The cubic root of 82643544 is about 435.5817187571.

The spelling of 82643544 in words is "eighty-two million, six hundred forty-three thousand, five hundred forty-four".