537819360 has 192 divisors, whose sum is σ = 1849236480. Its totient is φ = 130590720.

The previous prime is 537819353. The next prime is 537819367. The reversal of 537819360 is 63918735.

It is an interprime number because it is at equal distance from previous prime (537819353) and next prime (537819367).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537819367) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 492415 + ... + 493505.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^537819360 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 537819360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

537819360 is an abundant number, since it is smaller than the sum of its proper divisors (1311417120).

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

537819360 is a wasteful number, since it uses less digits than its factorization.

537819360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 537819360 is about 23190.9327108678. The cubic root of 537819360 is about 813.2276640168.

The spelling of 537819360 in words is "five hundred thirty-seven million, eight hundred nineteen thousand, three hundred sixty".