83991960 has 192 divisors, whose sum is σ = 298378080. Its totient is φ = 20367360.

The previous prime is 83991959. The next prime is 83991967. The reversal of 83991960 is 6919938.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83991967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613012 + ... + 613148.

Almost surely, 2^83991960 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 83991960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149189040).

83991960 is an abundant number, since it is smaller than the sum of its proper divisors (214386120).

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

83991960 is a wasteful number, since it uses less digits than its factorization.

83991960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 83991960 is about 9164.7127614563. The cubic root of 83991960 is about 437.9379407914.

The spelling of 83991960 in words is "eighty-three million, nine hundred ninety-one thousand, nine hundred sixty".