83353608 has 192 divisors, whose sum is σ = 264264000. Its totient is φ = 23514624.

The previous prime is 83353507. The next prime is 83353619. The reversal of 83353608 is 80635338.

83353608 is nontrivially palindromic in base 7.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764658 + ... + 764766.

It is an arithmetic number, because the mean of its divisors is an integer number (1376375).

Almost surely, 2^83353608 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 83353608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132132000).

83353608 is an abundant number, since it is smaller than the sum of its proper divisors (180910392).

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

83353608 is a wasteful number, since it uses less digits than its factorization.

83353608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83353608 is about 9129.8197134445. The cubic root of 83353608 is about 436.8256526012.

The spelling of 83353608 in words is "eighty-three million, three hundred fifty-three thousand, six hundred eight".