535068576 has 288 divisors, whose sum is σ = 1868630400. Its totient is φ = 141834240.

The previous prime is 535068571. The next prime is 535068577. The reversal of 535068576 is 675860535.

535068576 is a `hidden beast` number, since 535 + 0 + 68 + 57 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (535068571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2336430 + ... + 2336658.

It is an arithmetic number, because the mean of its divisors is an integer number (6488300).

Almost surely, 2^535068576 is an apocalyptic number.

535068576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535068576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934315200).

535068576 is an abundant number, since it is smaller than the sum of its proper divisors (1333561824).

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

535068576 is a wasteful number, since it uses less digits than its factorization.

535068576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

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

The square root of 535068576 is about 23131.5493644503. The cubic root of 535068576 is about 811.8388219811.

The spelling of 535068576 in words is "five hundred thirty-five million, sixty-eight thousand, five hundred seventy-six".