536022000 has 240 divisors, whose sum is σ = 1897607712. Its totient is φ = 141004800.

The previous prime is 536021999. The next prime is 536022007. The reversal of 536022000 is 220635.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536022007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745847 + ... + 1746153.

Almost surely, 2^536022000 is an apocalyptic number.

536022000 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 536022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948803856).

536022000 is an abundant number, since it is smaller than the sum of its proper divisors (1361585712).

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

536022000 is a wasteful number, since it uses less digits than its factorization.

536022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 536022000 is about 23152.1489283392. The cubic root of 536022000 is about 812.3207336259.

Adding to 536022000 its reverse (220635), we get a palindrome (536242635).

The spelling of 536022000 in words is "five hundred thirty-six million, twenty-two thousand".