541801560 has 128 divisors (see below), whose sum is σ = 1728216000. Its totient is φ = 135413760.

The previous prime is 541801553. The next prime is 541801583. The reversal of 541801560 is 65108145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711580 + ... + 712340.

Almost surely, 2^541801560 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 541801560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864108000).

541801560 is an abundant number, since it is smaller than the sum of its proper divisors (1186414440).

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

541801560 is a wasteful number, since it uses less digits than its factorization.

541801560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 541801560 is about 23276.6311995529. The cubic root of 541801560 is about 815.2298697950.

It can be divided in two parts, 5418015 and 60, that multiplied together give a square (325080900 = 18030²).

The spelling of 541801560 in words is "five hundred forty-one million, eight hundred one thousand, five hundred sixty".