83483280 has 120 divisors (see below), whose sum is σ = 286445952. Its totient is φ = 21779712.

The previous prime is 83483269. The next prime is 83483297. The reversal of 83483280 is 8238438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32607 + ... + 35073.

Almost surely, 2^83483280 is an apocalyptic number.

83483280 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 83483280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143222976).

83483280 is an abundant number, since it is smaller than the sum of its proper divisors (202962672).

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

83483280 is a wasteful number, since it uses less digits than its factorization.

83483280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83483280 is about 9136.9185177498. The cubic root of 83483280 is about 437.0520563499.

It can be divided in two parts, 8348 and 3280, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 83483280 in words is "eighty-three million, four hundred eighty-three thousand, two hundred eighty".