535760000 has 160 divisors (see below), whose sum is σ = 1377355980. Its totient is φ = 207360000.

The previous prime is 535759951. The next prime is 535760023. The reversal of 535760000 is 67535.

It can be written as a sum of positive squares in 10 ways, for example, as 79852096 + 455907904 = 8936^2 + 21352^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2959910 + ... + 2960090.

Almost surely, 2^535760000 is an apocalyptic number.

535760000 is a gapful number since it is divisible by the number (50) 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 535760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688677990).

535760000 is an abundant number, since it is smaller than the sum of its proper divisors (841595980).

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

535760000 is an equidigital number, since it uses as much as digits as its factorization.

535760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 535760000 is about 23146.4900146869. The cubic root of 535760000 is about 812.1883617473.

The spelling of 535760000 in words is "five hundred thirty-five million, seven hundred sixty thousand".