536037264 has 300 divisors, whose sum is σ = 1888343424. Its totient is φ = 146095488.

The previous prime is 536037263. The next prime is 536037331. The reversal of 536037264 is 462730635.

536037264 is a `hidden beast` number, since 5 + 360 + 37 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (536037263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1460409 + ... + 1460775.

Almost surely, 2^536037264 is an apocalyptic number.

536037264 is a gapful number since it is divisible by the number (54) 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 536037264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944171712).

536037264 is an abundant number, since it is smaller than the sum of its proper divisors (1352306160).

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

536037264 is a wasteful number, since it uses less digits than its factorization.

536037264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 536037264 is about 23152.4785714187. The cubic root of 536037264 is about 812.3284442211.

Adding to 536037264 its reverse (462730635), we get a palindrome (998767899).

It can be divided in two parts, 5360 and 37264, that added together give a palindrome (42624).

The spelling of 536037264 in words is "five hundred thirty-six million, thirty-seven thousand, two hundred sixty-four".