82674432 has 126 divisors (see below), whose sum is σ = 247984212. Its totient is φ = 27495936.

The previous prime is 82674413. The next prime is 82674439. The reversal of 82674432 is 23447628.

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

Its product of digits (64512) is a multiple of the sum of its prime divisors (448).

It is not an unprimeable number, because it can be changed into a prime (82674439) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186403 + ... + 186845.

Almost surely, 2^82674432 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 82674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123992106).

82674432 is an abundant number, since it is smaller than the sum of its proper divisors (165309780).

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

82674432 is an frugal number, since it uses more digits than its factorization.

82674432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 448 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 82674432 is about 9092.5481576948. The cubic root of 82674432 is about 435.6359781771.

The spelling of 82674432 in words is "eighty-two million, six hundred seventy-four thousand, four hundred thirty-two".