537614800 has 120 divisors (see below), whose sum is σ = 1378512216. Its totient is φ = 200785920.

The previous prime is 537614761. The next prime is 537614801. The reversal of 537614800 is 8416735.

It can be written as a sum of positive squares in 12 ways, for example, as 1784896 + 535829904 = 1336^2 + 23148^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537614801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176172 + ... + 1176628.

Almost surely, 2^537614800 is an apocalyptic number.

537614800 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 537614800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689256108).

537614800 is an abundant number, since it is smaller than the sum of its proper divisors (840897416).

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

537614800 is a wasteful number, since it uses less digits than its factorization.

537614800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 537614800 is about 23186.5219470278. The cubic root of 537614800 is about 813.1245470233.

The spelling of 537614800 in words is "five hundred thirty-seven million, six hundred fourteen thousand, eight hundred".