537891840 has 220 divisors, whose sum is σ = 1928986356. Its totient is φ = 143327232.

The previous prime is 537891793. The next prime is 537891847. The reversal of 537891840 is 48198735.

It can be written as a sum of positive squares in 2 ways, for example, as 418120704 + 119771136 = 20448^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537891847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414072 + ... + 415368.

Almost surely, 2^537891840 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 537891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964493178).

537891840 is an abundant number, since it is smaller than the sum of its proper divisors (1391094516).

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

537891840 is a wasteful number, since it uses less digits than its factorization.

537891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 537891840 is about 23192.4953379321. The cubic root of 537891840 is about 813.2641943080.

The spelling of 537891840 in words is "five hundred thirty-seven million, eight hundred ninety-one thousand, eight hundred forty".