536516820 has 144 divisors (see below), whose sum is σ = 1924191360. Its totient is φ = 118395648.

The previous prime is 536516819. The next prime is 536516833. The reversal of 536516820 is 28615635.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29199 + ... + 43881.

It is an arithmetic number, because the mean of its divisors is an integer number (13362440).

Almost surely, 2^536516820 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 536516820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962095680).

536516820 is an abundant number, since it is smaller than the sum of its proper divisors (1387674540).

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

536516820 is a wasteful number, since it uses less digits than its factorization.

536516820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14734 (or 14729 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 536516820 is about 23162.8327283171. The cubic root of 536516820 is about 812.5706169786.

The spelling of 536516820 in words is "five hundred thirty-six million, five hundred sixteen thousand, eight hundred twenty".