541677120 has 112 divisors (see below), whose sum is σ = 1821045888. Its totient is φ = 135946240.

The previous prime is 541677113. The next prime is 541677131. The reversal of 541677120 is 21776145.

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, 276 + ... + 32915.

Almost surely, 2^541677120 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 541677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910522944).

541677120 is an abundant number, since it is smaller than the sum of its proper divisors (1279368768).

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

541677120 is a wasteful number, since it uses less digits than its factorization.

541677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33228 (or 33218 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 541677120 is about 23273.9579788226. The cubic root of 541677120 is about 815.1674515099.

The spelling of 541677120 in words is "five hundred forty-one million, six hundred seventy-seven thousand, one hundred twenty".