536996304 has 100 divisors (see below), whose sum is σ = 1673831236. Its totient is φ = 165224448.

The previous prime is 536996303. The next prime is 536996333. The reversal of 536996304 is 403699635.

It is a happy number.

536996304 is a `hidden beast` number, since 5 + 3 + 6 + 9 + 9 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98010000 + 438986304 = 9900^2 + 20952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 536996304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536996303) 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, 912 + ... + 32784.

Almost surely, 2^536996304 is an apocalyptic number.

536996304 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 536996304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836915618).

536996304 is an abundant number, since it is smaller than the sum of its proper divisors (1136834932).

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

536996304 is a wasteful number, since it uses less digits than its factorization.

536996304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31906 (or 31891 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 536996304 is about 23173.1807052895. The cubic root of 536996304 is about 812.8126091442.

The spelling of 536996304 in words is "five hundred thirty-six million, nine hundred ninety-six thousand, three hundred four".