83529280 has 56 divisors (see below), whose sum is σ = 205785720. Its totient is φ = 32256000.

The previous prime is 83529269. The next prime is 83529287. The reversal of 83529280 is 8292538.

It can be written as a sum of positive squares in 4 ways, for example, as 2096704 + 81432576 = 1448^2 + 9024^2 .

It is not an unprimeable number, because it can be changed into a prime (83529287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4780 + ... + 13780.

It is an arithmetic number, because the mean of its divisors is an integer number (3674745).

Almost surely, 2^83529280 is an apocalyptic number.

83529280 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 83529280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102892860).

83529280 is an abundant number, since it is smaller than the sum of its proper divisors (122256440).

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

83529280 is a wasteful number, since it uses less digits than its factorization.

83529280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9047 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 83529280 is about 9139.4354311412. The cubic root of 83529280 is about 437.1323147487.

The spelling of 83529280 in words is "eighty-three million, five hundred twenty-nine thousand, two hundred eighty".