533952864 has 96 divisors (see below), whose sum is σ = 1649017440. Its totient is φ = 167510016.

The previous prime is 533952841. The next prime is 533952869. The reversal of 533952864 is 468259335.

533952864 is a `hidden beast` number, since 533 + 9 + 52 + 8 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533952869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3489 + ... + 32864.

It is an arithmetic number, because the mean of its divisors is an integer number (17177265).

Almost surely, 2^533952864 is an apocalyptic number.

533952864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533952864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824508720).

533952864 is an abundant number, since it is smaller than the sum of its proper divisors (1115064576).

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

533952864 is a wasteful number, since it uses less digits than its factorization.

533952864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36389 (or 36375 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 533952864 is about 23107.4201069700. The cubic root of 533952864 is about 811.2741537898.

The spelling of 533952864 in words is "five hundred thirty-three million, nine hundred fifty-two thousand, eight hundred sixty-four".