83238642 has 48 divisors (see below), whose sum is σ = 187813080. Its totient is φ = 26611200.

The previous prime is 83238619. The next prime is 83238703. The reversal of 83238642 is 24683238.

83238642 is a `hidden beast` number, since 8 + 3 + 2 + 3 + 8 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32387481 + 50851161 = 5691^2 + 7131^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83238597 and 83238606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94042 + ... + 94922.

Almost surely, 2^83238642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83238642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93906540).

83238642 is an abundant number, since it is smaller than the sum of its proper divisors (104574438).

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

83238642 is a wasteful number, since it uses less digits than its factorization.

83238642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1096 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 83238642 is about 9123.5213596506. The cubic root of 83238642 is about 436.6247286673.

The spelling of 83238642 in words is "eighty-three million, two hundred thirty-eight thousand, six hundred forty-two".