536008640 has 112 divisors (see below), whose sum is σ = 1388498112. Its totient is φ = 196263936.

The previous prime is 536008637. The next prime is 536008651. The reversal of 536008640 is 46800635.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 536008597 and 536008606.

It is a congruent number.

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, 199949 + ... + 202611.

Almost surely, 2^536008640 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 536008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694249056).

536008640 is an abundant number, since it is smaller than the sum of its proper divisors (852489472).

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

536008640 is a wasteful number, since it uses less digits than its factorization.

536008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 536008640 is about 23151.8604004084. The cubic root of 536008640 is about 812.3139847144.

The spelling of 536008640 in words is "five hundred thirty-six million, eight thousand, six hundred forty".