83414016 has 176 divisors, whose sum is σ = 282977280. Its totient is φ = 23777280.

The previous prime is 83414011. The next prime is 83414027. The reversal of 83414016 is 61041438.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (83414011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193321 + ... + 193751.

Almost surely, 2^83414016 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 83414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

83414016 is an abundant number, since it is smaller than the sum of its proper divisors (199563264).

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

83414016 is a wasteful number, since it uses less digits than its factorization.

83414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83414016 is about 9133.1273942719. The cubic root of 83414016 is about 436.9311525016.

The spelling of 83414016 in words is "eighty-three million, four hundred fourteen thousand, sixteen".