536972600 has 96 divisors (see below), whose sum is σ = 1279605600. Its totient is φ = 209510400.

The previous prime is 536972593. The next prime is 536972617. The reversal of 536972600 is 6279635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1726445 + ... + 1726755.

It is an arithmetic number, because the mean of its divisors is an integer number (13329225).

Almost surely, 2^536972600 is an apocalyptic number.

536972600 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 536972600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639802800).

536972600 is an abundant number, since it is smaller than the sum of its proper divisors (742633000).

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

536972600 is a wasteful number, since it uses less digits than its factorization.

536972600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 536972600 is about 23172.6692463341. The cubic root of 536972600 is about 812.8006492893.

The spelling of 536972600 in words is "five hundred thirty-six million, nine hundred seventy-two thousand, six hundred".