83960214 has 48 divisors (see below), whose sum is σ = 187766784. Its totient is φ = 24991200.

The previous prime is 83960213. The next prime is 83960231. The reversal of 83960214 is 41206938.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83960213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30099 + ... + 32769.

It is an arithmetic number, because the mean of its divisors is an integer number (3911808).

Almost surely, 2^83960214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83960214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93883392).

83960214 is an abundant number, since it is smaller than the sum of its proper divisors (103806570).

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

83960214 is a wasteful number, since it uses less digits than its factorization.

83960214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 83960214 is about 9162.9806285946. The cubic root of 83960214 is about 437.8827588041.

The spelling of 83960214 in words is "eighty-three million, nine hundred sixty thousand, two hundred fourteen".