535981600 has 324 divisors, whose sum is σ = 1687849002. Its totient is φ = 165580800.

The previous prime is 535981591. The next prime is 535981603. The reversal of 535981600 is 6189535.

It can be written as a sum of positive squares in 3 ways, for example, as 227768464 + 308213136 = 15092^2 + 17556^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 535981600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535981603) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4743144 + ... + 4743256.

Almost surely, 2^535981600 is an apocalyptic number.

535981600 is a gapful number since it is divisible by the number (50) 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 535981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843924501).

535981600 is an abundant number, since it is smaller than the sum of its proper divisors (1151867402).

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

535981600 is a wasteful number, since it uses less digits than its factorization.

535981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 535981600 is about 23151.2764226943. The cubic root of 535981600 is about 812.3003248976.

The spelling of 535981600 in words is "five hundred thirty-five million, nine hundred eighty-one thousand, six hundred".