83564160 has 128 divisors (see below), whose sum is σ = 270552960. Its totient is φ = 21934080.

The previous prime is 83564153. The next prime is 83564177. The reversal of 83564160 is 6146538.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136014 + ... + 136626.

It is an arithmetic number, because the mean of its divisors is an integer number (2113695).

Almost surely, 2^83564160 is an apocalyptic number.

83564160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135276480).

83564160 is an abundant number, since it is smaller than the sum of its proper divisors (186988800).

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

83564160 is a wasteful number, since it uses less digits than its factorization.

83564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 83564160 is about 9141.3434461243. The cubic root of 83564160 is about 437.1931519120.

The spelling of 83564160 in words is "eighty-three million, five hundred sixty-four thousand, one hundred sixty".