536122080 has 216 divisors, whose sum is σ = 1981973448. Its totient is φ = 131908608.

The previous prime is 536122079. The next prime is 536122087. The reversal of 536122080 is 80221635.

536122080 is a `hidden beast` number, since 5 + 361 + 220 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536122087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 242259 + ... + 244461.

It is an arithmetic number, because the mean of its divisors is an integer number (9175803).

Almost surely, 2^536122080 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 536122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990986724).

536122080 is an abundant number, since it is smaller than the sum of its proper divisors (1445851368).

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

536122080 is a wasteful number, since it uses less digits than its factorization.

536122080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 536122080 is about 23154.3101819078. The cubic root of 536122080 is about 812.3712862773.

The spelling of 536122080 in words is "five hundred thirty-six million, one hundred twenty-two thousand, eighty".