535584768 has 224 divisors, whose sum is σ = 1593738240. Its totient is φ = 159252480.

The previous prime is 535584767. The next prime is 535584793. The reversal of 535584768 is 867485535.

It is a happy number.

It is a super-2 number, since 2×535584768² = 573702087427227648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 535584768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535584761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14475246 + ... + 14475282.

Almost surely, 2^535584768 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 535584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796869120).

535584768 is an abundant number, since it is smaller than the sum of its proper divisors (1058153472).

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

535584768 is a wasteful number, since it uses less digits than its factorization.

535584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The square root of 535584768 is about 23142.7044227765. The cubic root of 535584768 is about 812.0998041156.

The spelling of 535584768 in words is "five hundred thirty-five million, five hundred eighty-four thousand, seven hundred sixty-eight".