535805760 has 224 divisors, whose sum is σ = 1973348352. Its totient is φ = 120637440.

The previous prime is 535805747. The next prime is 535805771. The reversal of 535805760 is 67508535.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476559 + ... + 477681.

Almost surely, 2^535805760 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 535805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986674176).

535805760 is an abundant number, since it is smaller than the sum of its proper divisors (1437542592).

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

535805760 is a wasteful number, since it uses less digits than its factorization.

535805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 535805760 is about 23147.4784803874. The cubic root of 535805760 is about 812.2114844648.

It can be divided in two parts, 53580 and 5760, that added together give a triangular number (59340 = T₃₄₄).

The spelling of 535805760 in words is "five hundred thirty-five million, eight hundred five thousand, seven hundred sixty".