535707648 has 240 divisors, whose sum is σ = 1824466560. Its totient is φ = 152174592.

The previous prime is 535707629. The next prime is 535707677. The reversal of 535707648 is 846707535.

535707648 is a `hidden beast` number, since 5 + 3 + 570 + 76 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096490 + ... + 3096662.

It is an arithmetic number, because the mean of its divisors is an integer number (7601944).

Almost surely, 2^535707648 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 535707648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912233280).

535707648 is an abundant number, since it is smaller than the sum of its proper divisors (1288758912).

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

535707648 is an equidigital number, since it uses as much as digits as its factorization.

535707648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 535707648 is about 23145.3591028526. The cubic root of 535707648 is about 812.1619064500.

The spelling of 535707648 in words is "five hundred thirty-five million, seven hundred seven thousand, six hundred forty-eight".