541026864 has 240 divisors, whose sum is σ = 1821327872. Its totient is φ = 152285184.

The previous prime is 541026851. The next prime is 541026883. The reversal of 541026864 is 468620145.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2803152 + ... + 2803344.

Almost surely, 2^541026864 is an apocalyptic number.

541026864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541026864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910663936).

541026864 is an abundant number, since it is smaller than the sum of its proper divisors (1280301008).

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

541026864 is a wasteful number, since it uses less digits than its factorization.

541026864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 541026864 is about 23259.9841788424. The cubic root of 541026864 is about 814.8411317924.

The spelling of 541026864 in words is "five hundred forty-one million, twenty-six thousand, eight hundred sixty-four".