83287080 has 192 divisors, whose sum is σ = 296524800. Its totient is φ = 20183040.

The previous prime is 83287079. The next prime is 83287081. The reversal of 83287080 is 8078238.

It is an interprime number because it is at equal distance from previous prime (83287079) and next prime (83287081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83287081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189501 + ... + 189939.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 2^83287080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83287080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

83287080 is an abundant number, since it is smaller than the sum of its proper divisors (213237720).

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

83287080 is a wasteful number, since it uses less digits than its factorization.

83287080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 83287080 is about 9126.1755407180. The cubic root of 83287080 is about 436.7094053954.

The spelling of 83287080 in words is "eighty-three million, two hundred eighty-seven thousand, eighty".