535599360 has 216 divisors, whose sum is σ = 1951447680. Its totient is φ = 135254016.

The previous prime is 535599319. The next prime is 535599373. The reversal of 535599360 is 63995535.

It is a happy number.

535599360 is a `hidden beast` number, since 5 + 3 + 559 + 93 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217657 + ... + 220103.

It is an arithmetic number, because the mean of its divisors is an integer number (9034480).

Almost surely, 2^535599360 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 535599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975723840).

535599360 is an abundant number, since it is smaller than the sum of its proper divisors (1415848320).

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

535599360 is a wasteful number, since it uses less digits than its factorization.

535599360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 546750, while the sum is 45.

The square root of 535599360 is about 23143.0196819689. The cubic root of 535599360 is about 812.1071792648.

The spelling of 535599360 in words is "five hundred thirty-five million, five hundred ninety-nine thousand, three hundred sixty".