535575680 has 64 divisors (see below), whose sum is σ = 1288284480. Its totient is φ = 212904960.

The previous prime is 535575679. The next prime is 535575727. The reversal of 535575680 is 86575535.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104375 + ... + 109385.

It is an arithmetic number, because the mean of its divisors is an integer number (20129445).

Almost surely, 2^535575680 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 535575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644142240).

535575680 is an abundant number, since it is smaller than the sum of its proper divisors (752708800).

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

535575680 is a wasteful number, since it uses less digits than its factorization.

535575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 44.

The square root of 535575680 is about 23142.5080749689. The cubic root of 535575680 is about 812.0952107532.

The spelling of 535575680 in words is "five hundred thirty-five million, five hundred seventy-five thousand, six hundred eighty".