541663320 has 128 divisors (see below), whose sum is σ = 1782570240. Its totient is φ = 130583040.

The previous prime is 541663277. The next prime is 541663337. The reversal of 541663320 is 23366145.

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, 258999 + ... + 261081.

It is an arithmetic number, because the mean of its divisors is an integer number (13926330).

Almost surely, 2^541663320 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 541663320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891285120).

541663320 is an abundant number, since it is smaller than the sum of its proper divisors (1240906920).

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

541663320 is a wasteful number, since it uses less digits than its factorization.

541663320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 541663320 is about 23273.6615082372. The cubic root of 541663320 is about 815.1605289319.

The spelling of 541663320 in words is "five hundred forty-one million, six hundred sixty-three thousand, three hundred twenty".