537816000 has 112 divisors (see below), whose sum is σ = 1775947680. Its totient is φ = 143411200.

The previous prime is 537815989. The next prime is 537816047. The reversal of 537816000 is 618735.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12796 + ... + 35204.

Almost surely, 2^537816000 is an apocalyptic number.

537816000 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 537816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887973840).

537816000 is an abundant number, since it is smaller than the sum of its proper divisors (1238131680).

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

537816000 is a wasteful number, since it uses less digits than its factorization.

537816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22439 (or 22419 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 537816000 is about 23190.8602686489. The cubic root of 537816000 is about 813.2259704800.

The spelling of 537816000 in words is "five hundred thirty-seven million, eight hundred sixteen thousand".