82206432 has 216 divisors, whose sum is σ = 294538608. Its totient is φ = 21288960.

The previous prime is 82206419. The next prime is 82206457. The reversal of 82206432 is 23460228.

82206432 is a `hidden beast` number, since 8 + 220 + 6 + 432 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82206396 and 82206405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243768 + ... + 244104.

Almost surely, 2^82206432 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 82206432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147269304).

82206432 is an abundant number, since it is smaller than the sum of its proper divisors (212332176).

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

82206432 is a wasteful number, since it uses less digits than its factorization.

82206432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

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

The square root of 82206432 is about 9066.7762738473. The cubic root of 82206432 is about 434.8124121808.

The spelling of 82206432 in words is "eighty-two million, two hundred six thousand, four hundred thirty-two".