538147968 has 64 divisors (see below), whose sum is σ = 1453744800. Its totient is φ = 176334848.

The previous prime is 538147957. The next prime is 538147969. The reversal of 538147968 is 869741835.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 538147968.

It is not an unprimeable number, because it can be changed into a prime (538147969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10780 + ... + 34532.

Almost surely, 2^538147968 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 538147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726872400).

538147968 is an abundant number, since it is smaller than the sum of its proper divisors (915596832).

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

538147968 is a wasteful number, since it uses less digits than its factorization.

538147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23829 (or 23817 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 538147968 is about 23198.0164669310. The cubic root of 538147968 is about 813.3932578500.

The spelling of 538147968 in words is "five hundred thirty-eight million, one hundred forty-seven thousand, nine hundred sixty-eight".