536038560 has 288 divisors, whose sum is σ = 2011044672. Its totient is φ = 134369280.

The previous prime is 536038553. The next prime is 536038561. The reversal of 536038560 is 65830635.

536038560 is a `hidden beast` number, since 5 + 3 + 60 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (536038561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660555 + ... + 661365.

It is an arithmetic number, because the mean of its divisors is an integer number (6982794).

Almost surely, 2^536038560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005522336).

536038560 is an abundant number, since it is smaller than the sum of its proper divisors (1475006112).

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

536038560 is a wasteful number, since it uses less digits than its factorization.

536038560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 536038560 is about 23152.5065597658. The cubic root of 536038560 is about 812.3290988876.

The spelling of 536038560 in words is "five hundred thirty-six million, thirty-eight thousand, five hundred sixty".