537624320 has 144 divisors (see below), whose sum is σ = 1409280768. Its totient is φ = 195624960.

The previous prime is 537624271. The next prime is 537624391. The reversal of 537624320 is 23426735.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 674162 + ... + 674958.

It is an arithmetic number, because the mean of its divisors is an integer number (9786672).

Almost surely, 2^537624320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704640384).

537624320 is an abundant number, since it is smaller than the sum of its proper divisors (871656448).

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

537624320 is a wasteful number, since it uses less digits than its factorization.

537624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 537624320 is about 23186.7272377971. The cubic root of 537624320 is about 813.1293465564.

The spelling of 537624320 in words is "five hundred thirty-seven million, six hundred twenty-four thousand, three hundred twenty".