537845616 has 640 divisors, whose sum is σ = 2171289600. Its totient is φ = 123171840.

The previous prime is 537845611. The next prime is 537845621. The reversal of 537845616 is 616548735.

537845616 is a `hidden beast` number, since 5 + 3 + 7 + 84 + 561 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (537845611) and next prime (537845621).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537845611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14536350 + ... + 14536386.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^537845616 is an apocalyptic number.

537845616 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 537845616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085644800).

537845616 is an abundant number, since it is smaller than the sum of its proper divisors (1633443984).

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

537845616 is a wasteful number, since it uses less digits than its factorization.

537845616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 537845616 is about 23191.4987872712. The cubic root of 537845616 is about 813.2408975544.

The spelling of 537845616 in words is "five hundred thirty-seven million, eight hundred forty-five thousand, six hundred sixteen".