535691520 has 648 divisors, whose sum is σ = 2353694616. Its totient is φ = 111476736.

The previous prime is 535691449. The next prime is 535691581. The reversal of 535691520 is 25196535.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 522031104 = 3696^2 + 22848^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7338204 + ... + 7338276.

Almost surely, 2^535691520 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 535691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176847308).

535691520 is an abundant number, since it is smaller than the sum of its proper divisors (1818003096).

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

535691520 is a wasteful number, since it uses less digits than its factorization.

535691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 535691520 is about 23145.0106934518. The cubic root of 535691520 is about 812.1537560601.

The spelling of 535691520 in words is "five hundred thirty-five million, six hundred ninety-one thousand, five hundred twenty".