536652144 has 120 divisors (see below), whose sum is σ = 1762947680. Its totient is φ = 149174784.

The previous prime is 536652143. The next prime is 536652211. The reversal of 536652144 is 441256635.

536652144 is a `hidden beast` number, since 536 + 65 + 21 + 44 = 666.

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 = 536652099 and 536652108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536652143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30102 + ... + 44490.

Almost surely, 2^536652144 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 536652144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881473840).

536652144 is an abundant number, since it is smaller than the sum of its proper divisors (1226295536).

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

536652144 is a wasteful number, since it uses less digits than its factorization.

536652144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14447 (or 14438 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 536652144 is about 23165.7536894443. The cubic root of 536652144 is about 812.6389286378.

The spelling of 536652144 in words is "five hundred thirty-six million, six hundred fifty-two thousand, one hundred forty-four".