535335840 has 144 divisors (see below), whose sum is σ = 1967428008. Its totient is φ = 131770368.

The previous prime is 535335821. The next prime is 535335859. The reversal of 535335840 is 48533535.

535335840 is a `hidden beast` number, since 535 + 33 + 58 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (535335821) and next prime (535335859).

It can be written as a sum of positive squares in 4 ways, for example, as 488056464 + 47279376 = 22092^2 + 6876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 535335795 and 535335804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4422 + ... + 33018.

Almost surely, 2^535335840 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 535335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983714004).

535335840 is an abundant number, since it is smaller than the sum of its proper divisors (1432092168).

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

535335840 is a wasteful number, since it uses less digits than its factorization.

535335840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28631 (or 28620 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 535335840 is about 23137.3256881602. The cubic root of 535335840 is about 811.9739692530.

The spelling of 535335840 in words is "five hundred thirty-five million, three hundred thirty-five thousand, eight hundred forty".