536181600 has 144 divisors (see below), whose sum is σ = 1788166800. Its totient is φ = 139468800.

The previous prime is 536181587. The next prime is 536181619. The reversal of 536181600 is 6181635.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95676 + ... + 101124.

It is an arithmetic number, because the mean of its divisors is an integer number (12417825).

Almost surely, 2^536181600 is an apocalyptic number.

536181600 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 536181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894083400).

536181600 is an abundant number, since it is smaller than the sum of its proper divisors (1251985200).

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

536181600 is a wasteful number, since it uses less digits than its factorization.

536181600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 536181600 is about 23155.5954360928. The cubic root of 536181600 is about 812.4013481802.

The spelling of 536181600 in words is "five hundred thirty-six million, one hundred eighty-one thousand, six hundred".