82642032 has 300 divisors, whose sum is σ = 287356608. Its totient is φ = 22809600.

The previous prime is 82642031. The next prime is 82642037. The reversal of 82642032 is 23024628.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 82641987 and 82642005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82642031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2665857 + ... + 2665887.

Almost surely, 2^82642032 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 82642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678304).

82642032 is an abundant number, since it is smaller than the sum of its proper divisors (204714576).

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

82642032 is a wasteful number, since it uses less digits than its factorization.

82642032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82642032 is about 9090.7663043332. The cubic root of 82642032 is about 435.5790623545.

It can be divided in two parts, 8264 and 2032, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 82642032 in words is "eighty-two million, six hundred forty-two thousand, thirty-two".