83529940 has 48 divisors (see below), whose sum is σ = 190123920. Its totient is φ = 30825600.

The previous prime is 83529937. The next prime is 83529967. The reversal of 83529940 is 4992538.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 77369616 + 6160324 = 8796^2 + 2482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 83529893 and 83529902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42990 + ... + 44890.

It is an arithmetic number, because the mean of its divisors is an integer number (3960915).

Almost surely, 2^83529940 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 83529940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95061960).

83529940 is an abundant number, since it is smaller than the sum of its proper divisors (106593980).

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

83529940 is a wasteful number, since it uses less digits than its factorization.

83529940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 83529940 is about 9139.4715383331. The cubic root of 83529940 is about 437.1334660678.

The spelling of 83529940 in words is "eighty-three million, five hundred twenty-nine thousand, nine hundred forty".