536745600 has 144 divisors (see below), whose sum is σ = 1915334070. Its totient is φ = 143124480.

The previous prime is 536745577. The next prime is 536745617. The reversal of 536745600 is 6547635.

536745600 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 45 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 206669376 + 330076224 = 14376^2 + 18168^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19482 + ... + 38118.

Almost surely, 2^536745600 is an apocalyptic number.

536745600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957667035).

536745600 is an abundant number, since it is smaller than the sum of its proper divisors (1378588470).

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

536745600 is a wasteful number, since it uses less digits than its factorization.

536745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18667 (or 18647 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 536745600 is about 23167.7707170975. The cubic root of 536745600 is about 812.6860985948.

The spelling of 536745600 in words is "five hundred thirty-six million, seven hundred forty-five thousand, six hundred".