536009760 has 576 divisors, whose sum is σ = 2278523520. Its totient is φ = 112803840.

The previous prime is 536009753. The next prime is 536009777. The reversal of 536009760 is 67900635.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3912412 + ... + 3912548.

It is an arithmetic number, because the mean of its divisors is an integer number (3955770).

Almost surely, 2^536009760 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 536009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139261760).

536009760 is an abundant number, since it is smaller than the sum of its proper divisors (1742513760).

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

536009760 is a wasteful number, since it uses less digits than its factorization.

536009760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 536009760 is about 23151.8845885168. The cubic root of 536009760 is about 812.3145504957.

The spelling of 536009760 in words is "five hundred thirty-six million, nine thousand, seven hundred sixty".