536523840 has 168 divisors, whose sum is σ = 1855473048. Its totient is φ = 142295040.

The previous prime is 536523811. The next prime is 536523899. The reversal of 536523840 is 48325635.

It is a happy number.

536523840 is a `hidden beast` number, since 53 + 6 + 523 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18870336 + 517653504 = 4344^2 + 22752^2 .

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 = 536523795 and 536523804.

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, 693694 + ... + 694466.

Almost surely, 2^536523840 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 536523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927736524).

536523840 is an abundant number, since it is smaller than the sum of its proper divisors (1318949208).

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

536523840 is a wasteful number, since it uses less digits than its factorization.

536523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1024 counting only the distinct ones).

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

The square root of 536523840 is about 23162.9842636911. The cubic root of 536523840 is about 812.5741609625.

The spelling of 536523840 in words is "five hundred thirty-six million, five hundred twenty-three thousand, eight hundred forty".