83358990 has 256 divisors, whose sum is σ = 278691840. Its totient is φ = 17418240.

The previous prime is 83358967. The next prime is 83359009. The reversal of 83358990 is 9985338.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 656307 + ... + 656433.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^83358990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83358990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

83358990 is an abundant number, since it is smaller than the sum of its proper divisors (195332850).

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

83358990 is a wasteful number, since it uses less digits than its factorization.

83358990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 83358990 is about 9130.1144571139. The cubic root of 83358990 is about 436.8350540941.

It can be divided in two parts, 83358 and 990, that added together give a palindrome (84348).

The spelling of 83358990 in words is "eighty-three million, three hundred fifty-eight thousand, nine hundred ninety".