535671864 has 288 divisors, whose sum is σ = 1895587200. Its totient is φ = 133436160.

The previous prime is 535671859. The next prime is 535671869. The reversal of 535671864 is 468176535.

535671864 is a `hidden beast` number, since 5 + 3 + 567 + 1 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (535671859) and next prime (535671869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535671869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1618179 + ... + 1618509.

It is an arithmetic number, because the mean of its divisors is an integer number (6581900).

Almost surely, 2^535671864 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 535671864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947793600).

535671864 is an abundant number, since it is smaller than the sum of its proper divisors (1359915336).

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

535671864 is a wasteful number, since it uses less digits than its factorization.

535671864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 375 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 535671864 is about 23144.5860624034. The cubic root of 535671864 is about 812.1438225512.

The spelling of 535671864 in words is "five hundred thirty-five million, six hundred seventy-one thousand, eight hundred sixty-four".