536216900 has 36 divisors (see below), whose sum is σ = 1185556932. Its totient is φ = 210437760.

The previous prime is 536216893. The next prime is 536216909. The reversal of 536216900 is 9612635.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 60715264 + 475501636 = 7792^2 + 21806^2 .

It is a super-2 number, since 2×536216900² = 575057127691220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (536216909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45287 + ... + 55886.

It is an arithmetic number, because the mean of its divisors is an integer number (32932137).

Almost surely, 2^536216900 is an apocalyptic number.

536216900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536216900 is an abundant number, since it is smaller than the sum of its proper divisors (649340032).

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

536216900 is a wasteful number, since it uses less digits than its factorization.

536216900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101240 (or 101233 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 536216900 is about 23156.3576583192. The cubic root of 536216900 is about 812.4191761812.

The spelling of 536216900 in words is "five hundred thirty-six million, two hundred sixteen thousand, nine hundred".