541120608 has 384 divisors, whose sum is σ = 2017612800. Its totient is φ = 137355264.

The previous prime is 541120579. The next prime is 541120639. The reversal of 541120608 is 806021145.

541120608 is a `hidden beast` number, since 5 + 41 + 12 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953366 + ... + 1953642.

It is an arithmetic number, because the mean of its divisors is an integer number (5254200).

Almost surely, 2^541120608 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 541120608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008806400).

541120608 is an abundant number, since it is smaller than the sum of its proper divisors (1476492192).

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

541120608 is a wasteful number, since it uses less digits than its factorization.

541120608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 541120608 is about 23261.9992262058. Note that the first 3 decimals coincide. The cubic root of 541120608 is about 814.8881917203. Note that the first 3 decimals are identical.

The spelling of 541120608 in words is "five hundred forty-one million, one hundred twenty thousand, six hundred eight".