536598000 has 320 divisors, whose sum is σ = 2027251200. Its totient is φ = 135302400.

The previous prime is 536597993. The next prime is 536598001. The reversal of 536598000 is 895635.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536598001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025739 + ... + 1026261.

It is an arithmetic number, because the mean of its divisors is an integer number (6335160).

Almost surely, 2^536598000 is an apocalyptic number.

536598000 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 536598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013625600).

536598000 is an abundant number, since it is smaller than the sum of its proper divisors (1490653200).

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

536598000 is a wasteful number, since it uses less digits than its factorization.

536598000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 536598000 is about 23164.5850383727. The cubic root of 536598000 is about 812.6115980834.

The spelling of 536598000 in words is "five hundred thirty-six million, five hundred ninety-eight thousand".