83719416 has 96 divisors (see below), whose sum is σ = 232888320. Its totient is φ = 25058880.

The previous prime is 83719411. The next prime is 83719451. The reversal of 83719416 is 61491738.

83719416 = T₃₈₉₆ + T₃₈₉₇ + ... + T₃₉₀₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83719411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 368695 + ... + 368921.

It is an arithmetic number, because the mean of its divisors is an integer number (2425920).

Almost surely, 2^83719416 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 83719416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116444160).

83719416 is an abundant number, since it is smaller than the sum of its proper divisors (149168904).

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

83719416 is a wasteful number, since it uses less digits than its factorization.

83719416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 83719416 is about 9149.8314738579. The cubic root of 83719416 is about 437.4637418659.

The spelling of 83719416 in words is "eighty-three million, seven hundred nineteen thousand, four hundred sixteen".