541956720 has 80 divisors (see below), whose sum is σ = 1695561120. Its totient is φ = 143188992.

The previous prime is 541956673. The next prime is 541956761. The reversal of 541956720 is 27659145.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 15802 + ... + 36518.

It is an arithmetic number, because the mean of its divisors is an integer number (21194514).

Almost surely, 2^541956720 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 541956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847780560).

541956720 is an abundant number, since it is smaller than the sum of its proper divisors (1153604400).

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

541956720 is a wasteful number, since it uses less digits than its factorization.

541956720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20842 (or 20836 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 541956720 is about 23279.9639174978. The cubic root of 541956720 is about 815.3076836437.

The spelling of 541956720 in words is "five hundred forty-one million, nine hundred fifty-six thousand, seven hundred twenty".