536642000 has 80 divisors (see below), whose sum is σ = 1305720000. Its totient is φ = 213315200.

The previous prime is 536641999. The next prime is 536642011. The reversal of 536642000 is 246635.

It is a tau number, because it is divible by the number of its divisors (80).

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, 357251 + ... + 358749.

It is an arithmetic number, because the mean of its divisors is an integer number (16321500).

Almost surely, 2^536642000 is an apocalyptic number.

536642000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652860000).

536642000 is an abundant number, since it is smaller than the sum of its proper divisors (769078000).

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

536642000 is a wasteful number, since it uses less digits than its factorization.

536642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 536642000 is about 23165.5347445294. The cubic root of 536642000 is about 812.6338083370.

Adding to 536642000 its reverse (246635), we get a palindrome (536888635).

The spelling of 536642000 in words is "five hundred thirty-six million, six hundred forty-two thousand".