541126656 has 260 divisors, whose sum is σ = 1855359792. Its totient is φ = 153944064.

The previous prime is 541126613. The next prime is 541126687. The reversal of 541126656 is 656621145.

541126656 is a `hidden beast` number, since 541 + 1 + 2 + 66 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 541126656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322316 + ... + 2322548.

Almost surely, 2^541126656 is an apocalyptic number.

541126656 is a gapful number since it is divisible by the number (56) 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 541126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927679896).

541126656 is an abundant number, since it is smaller than the sum of its proper divisors (1314233136).

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

541126656 is an equidigital number, since it uses as much as digits as its factorization.

541126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 245 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 541126656 is about 23262.1292232676. The cubic root of 541126656 is about 814.8912276580.

The spelling of 541126656 in words is "five hundred forty-one million, one hundred twenty-six thousand, six hundred fifty-six".