83976160 has 48 divisors (see below), whose sum is σ = 199717056. Its totient is φ = 33366528.

The previous prime is 83976127. The next prime is 83976161. The reversal of 83976160 is 6167938.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83976161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23449 + ... + 26791.

It is an arithmetic number, because the mean of its divisors is an integer number (4160772).

Almost surely, 2^83976160 is an apocalyptic number.

83976160 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 83976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99858528).

83976160 is an abundant number, since it is smaller than the sum of its proper divisors (115740896).

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

83976160 is a wasteful number, since it uses less digits than its factorization.

83976160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 83976160 is about 9163.8507189936. The cubic root of 83976160 is about 437.9104784272.

The spelling of 83976160 in words is "eighty-three million, nine hundred seventy-six thousand, one hundred sixty".