535581984 has 96 divisors (see below), whose sum is σ = 1614283776. Its totient is φ = 152305920.

The previous prime is 535581983. The next prime is 535581989. The reversal of 535581984 is 489185535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (535581983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150789 + ... + 154299.

It is an arithmetic number, because the mean of its divisors is an integer number (16815456).

Almost surely, 2^535581984 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 535581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807141888).

535581984 is an abundant number, since it is smaller than the sum of its proper divisors (1078701792).

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

535581984 is a wasteful number, since it uses less digits than its factorization.

535581984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3750 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 535581984 is about 23142.6442741533. The cubic root of 535581984 is about 812.0983969995.

The spelling of 535581984 in words is "five hundred thirty-five million, five hundred eighty-one thousand, nine hundred eighty-four".