535603680 has 144 divisors (see below), whose sum is σ = 1834101360. Its totient is φ = 142331904.

The previous prime is 535603667. The next prime is 535603693. The reversal of 535603680 is 86306535.

535603680 is a `hidden beast` number, since 535 + 60 + 3 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (535603667) and next prime (535603693).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623091 + ... + 623949.

It is an arithmetic number, because the mean of its divisors is an integer number (12736815).

Almost surely, 2^535603680 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 535603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917050680).

535603680 is an abundant number, since it is smaller than the sum of its proper divisors (1298497680).

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

535603680 is a wasteful number, since it uses less digits than its factorization.

535603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 535603680 is about 23143.1130144585. The cubic root of 535603680 is about 812.1093626714.

The spelling of 535603680 in words is "five hundred thirty-five million, six hundred three thousand, six hundred eighty".