535949568 has 576 divisors, whose sum is σ = 2119219200. Its totient is φ = 129392640.

The previous prime is 535949527. The next prime is 535949627. The reversal of 535949568 is 865949535.

It is a happy number.

535949568 is a `hidden beast` number, since 5 + 35 + 9 + 49 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×535949568³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10112230 + ... + 10112282.

It is an arithmetic number, because the mean of its divisors is an integer number (3679200).

Almost surely, 2^535949568 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 535949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059609600).

535949568 is an abundant number, since it is smaller than the sum of its proper divisors (1583269632).

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

535949568 is a wasteful number, since it uses less digits than its factorization.

535949568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 535949568 is about 23150.5846146485. The cubic root of 535949568 is about 812.2841426739.

The spelling of 535949568 in words is "five hundred thirty-five million, nine hundred forty-nine thousand, five hundred sixty-eight".