83016560 has 80 divisors (see below), whose sum is σ = 217887840. Its totient is φ = 29137920.

The previous prime is 83016511. The next prime is 83016581. The reversal of 83016560 is 6561038.

83016560 = T₃₅₁ + T₃₅₂ + ... + T₈₁₄.

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

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 23894 + ... + 27146.

It is an arithmetic number, because the mean of its divisors is an integer number (2723598).

Almost surely, 2^83016560 is an apocalyptic number.

83016560 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 83016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108943920).

83016560 is an abundant number, since it is smaller than the sum of its proper divisors (134871280).

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

83016560 is a wasteful number, since it uses less digits than its factorization.

83016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 83016560 is about 9111.3423818886. The cubic root of 83016560 is about 436.2360756140.

Adding to 83016560 its reverse (6561038), we get a palindrome (89577598).

The spelling of 83016560 in words is "eighty-three million, sixteen thousand, five hundred sixty".