538623072 has 144 divisors (see below), whose sum is σ = 1658533968. Its totient is φ = 164828160.

The previous prime is 538623017. The next prime is 538623079. The reversal of 538623072 is 270326835.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×538623072² = 580229627381434368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538623079) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1096747 + ... + 1097237.

It is an arithmetic number, because the mean of its divisors is an integer number (11517597).

Almost surely, 2^538623072 is an apocalyptic number.

538623072 is a gapful number since it is divisible by the number (52) 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 538623072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829266984).

538623072 is an abundant number, since it is smaller than the sum of its proper divisors (1119910896).

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

538623072 is a wasteful number, since it uses less digits than its factorization.

538623072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 538623072 is about 23208.2543936419. The cubic root of 538623072 is about 813.6325555552.

The spelling of 538623072 in words is "five hundred thirty-eight million, six hundred twenty-three thousand, seventy-two".