536310720 has 588 divisors, whose sum is σ = 2215423560. Its totient is φ = 123171840.

The previous prime is 536310703. The next prime is 536310793. The reversal of 536310720 is 27013635.

It is a happy number.

536310720 is a `hidden beast` number, since 5 + 3 + 631 + 0 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 83 ways as a sum of consecutive naturals, for example, 28226871 + ... + 28226889.

Almost surely, 2^536310720 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 536310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107711780).

536310720 is an abundant number, since it is smaller than the sum of its proper divisors (1679112840).

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

536310720 is a wasteful number, since it uses less digits than its factorization.

536310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 536310720 is about 23158.3833632661. The cubic root of 536310720 is about 812.4665554675.

The spelling of 536310720 in words is "five hundred thirty-six million, three hundred ten thousand, seven hundred twenty".