537971616 has 216 divisors, whose sum is σ = 1894445280. Its totient is φ = 141792768.

The previous prime is 537971591. The next prime is 537971657. The reversal of 537971616 is 616179735.

537971616 is a `hidden beast` number, since 537 + 97 + 16 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339915 + ... + 341493.

It is an arithmetic number, because the mean of its divisors is an integer number (8770580).

Almost surely, 2^537971616 is an apocalyptic number.

537971616 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 537971616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947222640).

537971616 is an abundant number, since it is smaller than the sum of its proper divisors (1356473664).

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

537971616 is a wasteful number, since it uses less digits than its factorization.

537971616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1604 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 537971616 is about 23194.2151408492. The cubic root of 537971616 is about 813.3043980270.

The spelling of 537971616 in words is "five hundred thirty-seven million, nine hundred seventy-one thousand, six hundred sixteen".