83542608 has 60 divisors (see below), whose sum is σ = 236253108. Its totient is φ = 27555840.

The previous prime is 83542577. The next prime is 83542619. The reversal of 83542608 is 80624538.

83542608 is a `hidden beast` number, since 8 + 3 + 5 + 42 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15776784 + 67765824 = 3972^2 + 8232^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10978 + ... + 16958.

Almost surely, 2^83542608 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 83542608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118126554).

83542608 is an abundant number, since it is smaller than the sum of its proper divisors (152710500).

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

83542608 is a wasteful number, since it uses less digits than its factorization.

83542608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6092 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83542608 is about 9140.1645499411. The cubic root of 83542608 is about 437.1555632417.

The spelling of 83542608 in words is "eighty-three million, five hundred forty-two thousand, six hundred eight".