536945760 has 240 divisors, whose sum is σ = 2041378416. Its totient is φ = 132129792.

The previous prime is 536945753. The next prime is 536945777. The reversal of 536945760 is 67549635.

536945760 is a `hidden beast` number, since 536 + 9 + 4 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166887 + ... + 170073.

Almost surely, 2^536945760 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 536945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020689208).

536945760 is an abundant number, since it is smaller than the sum of its proper divisors (1504432656).

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

536945760 is a wasteful number, since it uses less digits than its factorization.

536945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 536945760 is about 23172.0901085767. The cubic root of 536945760 is about 812.7871067405.

The spelling of 536945760 in words is "five hundred thirty-six million, nine hundred forty-five thousand, seven hundred sixty".