538085820 has 96 divisors (see below), whose sum is σ = 1557900288. Its totient is φ = 138661632.

The previous prime is 538085809. The next prime is 538085831. The reversal of 538085820 is 28580835.

It is an interprime number because it is at equal distance from previous prime (538085809) and next prime (538085831).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361117 + ... + 362603.

It is an arithmetic number, because the mean of its divisors is an integer number (16228128).

Almost surely, 2^538085820 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 538085820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778950144).

538085820 is an abundant number, since it is smaller than the sum of its proper divisors (1019814468).

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

538085820 is a wasteful number, since it uses less digits than its factorization.

538085820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 538085820 is about 23196.6769171793. The cubic root of 538085820 is about 813.3619450802.

The spelling of 538085820 in words is "five hundred thirty-eight million, eighty-five thousand, eight hundred twenty".