536687424 has 224 divisors, whose sum is σ = 1942429440. Its totient is φ = 141502464.

The previous prime is 536687401. The next prime is 536687449. The reversal of 536687424 is 424786635.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 536687424.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 155542 + ... + 158954.

It is an arithmetic number, because the mean of its divisors is an integer number (8671560).

Almost surely, 2^536687424 is an apocalyptic number.

536687424 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 536687424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971214720).

536687424 is an abundant number, since it is smaller than the sum of its proper divisors (1405742016).

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

536687424 is a wasteful number, since it uses less digits than its factorization.

536687424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3438 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 536687424 is about 23166.5151457875. The cubic root of 536687424 is about 812.6567361217.

The spelling of 536687424 in words is "five hundred thirty-six million, six hundred eighty-seven thousand, four hundred twenty-four".