536268096 has 252 divisors, whose sum is σ = 1904646432. Its totient is φ = 141253632.

The previous prime is 536268091. The next prime is 536268113. The reversal of 536268096 is 690862635.

It is a happy number.

536268096 is a `hidden beast` number, since 536 + 26 + 8 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536268091) 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 35 ways as a sum of consecutive naturals, for example, 681015 + ... + 681801.

Almost surely, 2^536268096 is an apocalyptic number.

536268096 is a gapful number since it is divisible by the number (56) 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 536268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952323216).

536268096 is an abundant number, since it is smaller than the sum of its proper divisors (1368378336).

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

536268096 is a wasteful number, since it uses less digits than its factorization.

536268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 536268096 is about 23157.4630734889. The cubic root of 536268096 is about 812.4450309479.

The spelling of 536268096 in words is "five hundred thirty-six million, two hundred sixty-eight thousand, ninety-six".