83836080 has 160 divisors (see below), whose sum is σ = 296856000. Its totient is φ = 21731328.

The previous prime is 83836079. The next prime is 83836091. The reversal of 83836080 is 8063838.

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 31 ways as a sum of consecutive naturals, for example, 79396 + ... + 80444.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^83836080 is an apocalyptic number.

83836080 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 83836080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428000).

83836080 is an abundant number, since it is smaller than the sum of its proper divisors (213019920).

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

83836080 is a wasteful number, since it uses less digits than its factorization.

83836080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83836080 is about 9156.2044538116. The cubic root of 83836080 is about 437.6668511891. Note that the first 3 decimals are identical.

The spelling of 83836080 in words is "eighty-three million, eight hundred thirty-six thousand, eighty".