541368968 has 64 divisors (see below), whose sum is σ = 1192181760. Its totient is φ = 225642816.

The previous prime is 541368943. The next prime is 541368973. The reversal of 541368968 is 869863145.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921971 + ... + 922557.

It is an arithmetic number, because the mean of its divisors is an integer number (18627840).

Almost surely, 2^541368968 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 541368968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596090880).

541368968 is an abundant number, since it is smaller than the sum of its proper divisors (650812792).

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

541368968 is a wasteful number, since it uses less digits than its factorization.

541368968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 50.

The square root of 541368968 is about 23267.3369339940. The cubic root of 541368968 is about 815.0128433371.

The spelling of 541368968 in words is "five hundred forty-one million, three hundred sixty-eight thousand, nine hundred sixty-eight".