83666016 has 144 divisors (see below), whose sum is σ = 278014464. Its totient is φ = 23369472.

The previous prime is 83665999. The next prime is 83666021. The reversal of 83666016 is 61066638.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94311 + ... + 95193.

It is an arithmetic number, because the mean of its divisors is an integer number (1930656).

Almost surely, 2^83666016 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 83666016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139007232).

83666016 is an abundant number, since it is smaller than the sum of its proper divisors (194348448).

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

83666016 is a wasteful number, since it uses less digits than its factorization.

83666016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 83666016 is about 9146.9129218551. The cubic root of 83666016 is about 437.3707107488.

The spelling of 83666016 in words is "eighty-three million, six hundred sixty-six thousand, sixteen".