536319840 has 384 divisors, whose sum is σ = 2105671680. Its totient is φ = 111974400.

The previous prime is 536319829. The next prime is 536319877. The reversal of 536319840 is 48913635.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978905 + ... + 1979175.

It is an arithmetic number, because the mean of its divisors is an integer number (5483520).

Almost surely, 2^536319840 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 536319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052835840).

536319840 is an abundant number, since it is smaller than the sum of its proper divisors (1569351840).

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

536319840 is a wasteful number, since it uses less digits than its factorization.

536319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 536319840 is about 23158.5802673653. The cubic root of 536319840 is about 812.4711607910.

The spelling of 536319840 in words is "five hundred thirty-six million, three hundred nineteen thousand, eight hundred forty".