83565380 has 48 divisors (see below), whose sum is σ = 181727280. Its totient is φ = 32256000.

The previous prime is 83565359. The next prime is 83565407. The reversal of 83565380 is 8356538.

It can be written as a sum of positive squares in 8 ways, for example, as 2096704 + 81468676 = 1448^2 + 9026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82316 + ... + 83324.

It is an arithmetic number, because the mean of its divisors is an integer number (3785985).

Almost surely, 2^83565380 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 83565380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90863640).

83565380 is an abundant number, since it is smaller than the sum of its proper divisors (98161900).

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

83565380 is a wasteful number, since it uses less digits than its factorization.

83565380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 83565380 is about 9141.4101756786. The cubic root of 83565380 is about 437.1952795109.

The spelling of 83565380 in words is "eighty-three million, five hundred sixty-five thousand, three hundred eighty".