535832064 has 160 divisors (see below), whose sum is σ = 1608647040. Its totient is φ = 176080896.

The previous prime is 535832047. The next prime is 535832069. The reversal of 535832064 is 460238535.

It is a happy number.

535832064 is a `hidden beast` number, since 53 + 583 + 20 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535832069) 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, 1147159 + ... + 1147625.

It is an arithmetic number, because the mean of its divisors is an integer number (10054044).

Almost surely, 2^535832064 is an apocalyptic number.

535832064 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 535832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

535832064 is an abundant number, since it is smaller than the sum of its proper divisors (1072814976).

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

535832064 is an equidigital number, since it uses as much as digits as its factorization.

535832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 535832064 is about 23148.0466562516. The cubic root of 535832064 is about 812.2247753890.

The spelling of 535832064 in words is "five hundred thirty-five million, eight hundred thirty-two thousand, sixty-four".