533640960 has 180 divisors, whose sum is σ = 1909835928. Its totient is φ = 142276608.

The previous prime is 533640949. The next prime is 533641013. The reversal of 533640960 is 69046335.

533640960 is a `hidden beast` number, since 5 + 3 + 3 + 640 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×533640960⁴ (a number of 36 digits) contains 4444 as substring.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101107 + ... + 106253.

Almost surely, 2^533640960 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 533640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954917964).

533640960 is an abundant number, since it is smaller than the sum of its proper divisors (1376194968).

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

533640960 is an equidigital number, since it uses as much as digits as its factorization.

533640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 533640960 is about 23100.6701201502. The cubic root of 533640960 is about 811.1161567349.

The spelling of 533640960 in words is "five hundred thirty-three million, six hundred forty thousand, nine hundred sixty".