83458960 has 60 divisors (see below), whose sum is σ = 210150612. Its totient is φ = 30810624.

The previous prime is 83458937. The next prime is 83458993. The reversal of 83458960 is 6985438.

It can be written as a sum of positive squares in 6 ways, for example, as 43718544 + 39740416 = 6612^2 + 6304^2 .

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, 10434 + ... + 16606.

Almost surely, 2^83458960 is an apocalyptic number.

83458960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83458960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105075306).

83458960 is an abundant number, since it is smaller than the sum of its proper divisors (126691652).

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

83458960 is a wasteful number, since it uses less digits than its factorization.

83458960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 83458960 is about 9135.5875563644. The cubic root of 83458960 is about 437.0096121689.

The spelling of 83458960 in words is "eighty-three million, four hundred fifty-eight thousand, nine hundred sixty".