536578560 has 320 divisors, whose sum is σ = 2180217600. Its totient is φ = 122535936.

The previous prime is 536578541. The next prime is 536578577. The reversal of 536578560 is 65875635.

536578560 is a `hidden beast` number, since 5 + 36 + 57 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 483286 + ... + 484394.

It is an arithmetic number, because the mean of its divisors is an integer number (6813180).

Almost surely, 2^536578560 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 536578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090108800).

536578560 is an abundant number, since it is smaller than the sum of its proper divisors (1643639040).

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

536578560 is a wasteful number, since it uses less digits than its factorization.

536578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 536578560 is about 23164.1654285234. The cubic root of 536578560 is about 812.6017848028.

The spelling of 536578560 in words is "five hundred thirty-six million, five hundred seventy-eight thousand, five hundred sixty".