535603968 has 72 divisors (see below), whose sum is σ = 1583895600. Its totient is φ = 178532352.

The previous prime is 535603961. The next prime is 535603969. The reversal of 535603968 is 869306535.

535603968 is a `hidden beast` number, since 5 + 35 + 603 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×535603968² = 573743221074690048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (535603961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31833 + ... + 45656.

It is an arithmetic number, because the mean of its divisors is an integer number (21998550).

Almost surely, 2^535603968 is an apocalyptic number.

It is an amenable number.

535603968 is an abundant number, since it is smaller than the sum of its proper divisors (1048291632).

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

535603968 is an equidigital number, since it uses as much as digits as its factorization.

535603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77514 (or 77494 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 535603968 is about 23143.1192366111. The cubic root of 535603968 is about 812.1095082314.

The spelling of 535603968 in words is "five hundred thirty-five million, six hundred three thousand, nine hundred sixty-eight".