536634560 has 224 divisors, whose sum is σ = 1650309120. Its totient is φ = 161280000.

The previous prime is 536634547. The next prime is 536634599. The reversal of 536634560 is 65436635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714185 + ... + 714935.

Almost surely, 2^536634560 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 536634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825154560).

536634560 is an abundant number, since it is smaller than the sum of its proper divisors (1113674560).

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

536634560 is a wasteful number, since it uses less digits than its factorization.

536634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

The square root of 536634560 is about 23165.3741605872. The cubic root of 536634560 is about 812.6300528703.

The spelling of 536634560 in words is "five hundred thirty-six million, six hundred thirty-four thousand, five hundred sixty".