536025600 has 600 divisors, whose sum is σ = 2210269248. Its totient is φ = 127180800.

The previous prime is 536025599. The next prime is 536025643. The reversal of 536025600 is 6520635.

536025600 is a `hidden beast` number, since 5 + 3 + 602 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11404777 + ... + 11404823.

Almost surely, 2^536025600 is an apocalyptic number.

536025600 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 536025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105134624).

536025600 is an abundant number, since it is smaller than the sum of its proper divisors (1674243648).

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

536025600 is a wasteful number, since it uses less digits than its factorization.

536025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 536025600 is about 23152.2266747715. The cubic root of 536025600 is about 812.3225521757.

The spelling of 536025600 in words is "five hundred thirty-six million, twenty-five thousand, six hundred".