83356416 has 324 divisors, whose sum is σ = 296862384. Its totient is φ = 22302720.

The previous prime is 83356409. The next prime is 83356433. The reversal of 83356416 is 61465338.

83356416 is a `hidden beast` number, since 8 + 3 + 3 + 5 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (51840) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3624181 + ... + 3624203.

Almost surely, 2^83356416 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 83356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148431192).

83356416 is an abundant number, since it is smaller than the sum of its proper divisors (213505968).

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

83356416 is a wasteful number, since it uses less digits than its factorization.

83356416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 83356416 is about 9129.9734939374. The cubic root of 83356416 is about 436.8305577785.

The spelling of 83356416 in words is "eighty-three million, three hundred fifty-six thousand, four hundred sixteen".