535162320 has 480 divisors, whose sum is σ = 2298067200. Its totient is φ = 110638080.

The previous prime is 535162301. The next prime is 535162349. The reversal of 535162320 is 23261535.

535162320 is a `hidden beast` number, since 5 + 35 + 1 + 623 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2716462 + ... + 2716658.

It is an arithmetic number, because the mean of its divisors is an integer number (4787640).

Almost surely, 2^535162320 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 535162320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149033600).

535162320 is an abundant number, since it is smaller than the sum of its proper divisors (1762904880).

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

535162320 is a wasteful number, since it uses less digits than its factorization.

535162320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 535162320 is about 23133.5755991157. The cubic root of 535162320 is about 811.8862305924.

The spelling of 535162320 in words is "five hundred thirty-five million, one hundred sixty-two thousand, three hundred twenty".