536864760 has 384 divisors, whose sum is σ = 2024481600. Its totient is φ = 127650816.

The previous prime is 536864759. The next prime is 536864767. The reversal of 536864760 is 67468635.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536864767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28256031 + ... + 28256049.

Almost surely, 2^536864760 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 536864760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012240800).

536864760 is an abundant number, since it is smaller than the sum of its proper divisors (1487616840).

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

536864760 is a wasteful number, since it uses less digits than its factorization.

536864760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 536864760 is about 23170.3422503855. The cubic root of 536864760 is about 812.7462341662.

The spelling of 536864760 in words is "five hundred thirty-six million, eight hundred sixty-four thousand, seven hundred sixty".