84045200 has 30 divisors (see below), whose sum is σ = 201919554. Its totient is φ = 33617920.

The previous prime is 84045193. The next prime is 84045209. The reversal of 84045200 is 254048.

It can be written as a sum of positive squares in 3 ways, for example, as 14622976 + 69422224 = 3824^2 + 8332^2 .

It is not an unprimeable number, because it can be changed into a prime (84045209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104657 + ... + 105456.

Almost surely, 2^84045200 is an apocalyptic number.

84045200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84045200 is an abundant number, since it is smaller than the sum of its proper divisors (117874354).

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

84045200 is a wasteful number, since it uses less digits than its factorization.

84045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210131 (or 210120 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 84045200 is about 9167.6169204434. The cubic root of 84045200 is about 438.0304531831.

Adding to 84045200 its reverse (254048), we get a palindrome (84299248).

The spelling of 84045200 in words is "eighty-four million, forty-five thousand, two hundred".