536868864 has 384 divisors, whose sum is σ = 1939392000. Its totient is φ = 143327232.

The previous prime is 536868863. The next prime is 536868901. The reversal of 536868864 is 468868635.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 536868864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536868863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7354332 + ... + 7354404.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500).

Almost surely, 2^536868864 is an apocalyptic number.

536868864 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 536868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969696000).

536868864 is an abundant number, since it is smaller than the sum of its proper divisors (1402523136).

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

536868864 is a wasteful number, since it uses less digits than its factorization.

536868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 536868864 is about 23170.4308117048. The cubic root of 536868864 is about 812.7483051422.

The spelling of 536868864 in words is "five hundred thirty-six million, eight hundred sixty-eight thousand, eight hundred sixty-four".