541967160 has 128 divisors (see below), whose sum is σ = 1868359680. Its totient is φ = 123199488.

The previous prime is 541967159. The next prime is 541967161. The reversal of 541967160 is 61769145.

It is an interprime number because it is at equal distance from previous prime (541967159) and next prime (541967161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541967161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160449 + ... + 163791.

It is an arithmetic number, because the mean of its divisors is an integer number (14596560).

Almost surely, 2^541967160 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 541967160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934179840).

541967160 is an abundant number, since it is smaller than the sum of its proper divisors (1326392520).

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

541967160 is a wasteful number, since it uses less digits than its factorization.

541967160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 541967160 is about 23280.1881435696. The cubic root of 541967160 is about 815.3129188449.

The spelling of 541967160 in words is "five hundred forty-one million, nine hundred sixty-seven thousand, one hundred sixty".