535840640 has 64 divisors (see below), whose sum is σ = 1285200000. Its totient is φ = 213633024.

The previous prime is 535840583. The next prime is 535840651. The reversal of 535840640 is 46048535.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 535840640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222161 + ... + 224559.

It is an arithmetic number, because the mean of its divisors is an integer number (20081250).

Almost surely, 2^535840640 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 535840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642600000).

535840640 is an abundant number, since it is smaller than the sum of its proper divisors (749359360).

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

535840640 is a wasteful number, since it uses less digits than its factorization.

535840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 535840640 is about 23148.2318979226. The cubic root of 535840640 is about 812.2291085890.

The spelling of 535840640 in words is "five hundred thirty-five million, eight hundred forty thousand, six hundred forty".