535718880 has 192 divisors, whose sum is σ = 1886068800. Its totient is φ = 142018560.

The previous prime is 535718863. The next prime is 535718881. The reversal of 535718880 is 88817535.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535718881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1161850 + ... + 1162310.

It is an arithmetic number, because the mean of its divisors is an integer number (9823275).

Almost surely, 2^535718880 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 535718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943034400).

535718880 is an abundant number, since it is smaller than the sum of its proper divisors (1350349920).

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

535718880 is a wasteful number, since it uses less digits than its factorization.

535718880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 535718880 is about 23145.6017420157. The cubic root of 535718880 is about 812.1675825178.

The spelling of 535718880 in words is "five hundred thirty-five million, seven hundred eighteen thousand, eight hundred eighty".