83536080 has 80 divisors (see below), whose sum is σ = 261036864. Its totient is φ = 22097920.

The previous prime is 83536073. The next prime is 83536087. The reversal of 83536080 is 8063538.

It is an interprime number because it is at equal distance from previous prime (83536073) and next prime (83536087).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83536087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30112 + ... + 32768.

Almost surely, 2^83536080 is an apocalyptic number.

83536080 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 83536080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130518432).

83536080 is an abundant number, since it is smaller than the sum of its proper divisors (177500784).

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

83536080 is a wasteful number, since it uses less digits than its factorization.

83536080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2798 counting only the distinct ones).

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

The square root of 83536080 is about 9139.8074377965. The cubic root of 83536080 is about 437.1441765337.

The spelling of 83536080 in words is "eighty-three million, five hundred thirty-six thousand, eighty".