83905600 has 63 divisors (see below), whose sum is σ = 207365727. Its totient is φ = 33415680.

The previous prime is 83905583. The next prime is 83905607. The reversal of 83905600 is 650938.

The square root of 83905600 is 9160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 72454144 = 3384^2 + 8512^2 .

It is a super-2 number, since 2×83905600² = 14080299422720000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83905607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 366286 + ... + 366514.

Almost surely, 2^83905600 is an apocalyptic number.

83905600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83905600 is the 9160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83905600

83905600 is an abundant number, since it is smaller than the sum of its proper divisors (123460127).

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

83905600 is an equidigital number, since it uses as much as digits as its factorization.

83905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 83905600 is about 437.7877943164.

The spelling of 83905600 in words is "eighty-three million, nine hundred five thousand, six hundred".