83486208 has 160 divisors (see below), whose sum is σ = 248171616. Its totient is φ = 24772608.

The previous prime is 83486197. The next prime is 83486213. The reversal of 83486208 is 80268438.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738760 + ... + 738872.

Almost surely, 2^83486208 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 83486208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124085808).

83486208 is an abundant number, since it is smaller than the sum of its proper divisors (164685408).

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

83486208 is a wasteful number, since it uses less digits than its factorization.

83486208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 83486208 is about 9137.0787454197. The cubic root of 83486208 is about 437.0571658499.

The spelling of 83486208 in words is "eighty-three million, four hundred eighty-six thousand, two hundred eight".