537686016 has 312 divisors, whose sum is σ = 1792846080. Its totient is φ = 142442496.

The previous prime is 537685957. The next prime is 537686027. The reversal of 537686016 is 610686735.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 11440105 + ... + 11440151.

Almost surely, 2^537686016 is an apocalyptic number.

537686016 is a gapful number since it is divisible by the number (56) 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 537686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896423040).

537686016 is an abundant number, since it is smaller than the sum of its proper divisors (1255160064).

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

537686016 is a wasteful number, since it uses less digits than its factorization.

537686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 537686016 is about 23188.0576159367. The cubic root of 537686016 is about 813.1604493838.

It can be divided in two parts, 5376 and 86016, that multiplied together give a square (462422016 = 21504²).

The spelling of 537686016 in words is "five hundred thirty-seven million, six hundred eighty-six thousand, sixteen".