83987280 has 200 divisors, whose sum is σ = 314453832. Its totient is φ = 20653056.

The previous prime is 83987273. The next prime is 83987317. The reversal of 83987280 is 8278938.

83987280 is a nontrivial binomial coefficient, being equal to C(12961, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 8714304 + 75272976 = 2952^2 + 8676^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83742 + ... + 84738.

Almost surely, 2^83987280 is an apocalyptic number.

83987280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83987280 is the 12960-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157226916).

83987280 is an abundant number, since it is smaller than the sum of its proper divisors (230466552).

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

83987280 is a wasteful number, since it uses less digits than its factorization.

83987280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 83987280 is about 9164.4574307484. The cubic root of 83987280 is about 437.9298067286.

The spelling of 83987280 in words is "eighty-three million, nine hundred eighty-seven thousand, two hundred eighty".