541629088 has 192 divisors, whose sum is σ = 1473631488. Its totient is φ = 189112320.

The previous prime is 541629073. The next prime is 541629091. The reversal of 541629088 is 880926145.

It is a happy 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, 1184956 + ... + 1185412.

It is an arithmetic number, because the mean of its divisors is an integer number (7675164).

Almost surely, 2^541629088 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 541629088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736815744).

541629088 is an abundant number, since it is smaller than the sum of its proper divisors (932002400).

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

541629088 is a wasteful number, since it uses less digits than its factorization.

541629088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 541629088 is about 23272.9260730145. The cubic root of 541629088 is about 815.1433564177.

The spelling of 541629088 in words is "five hundred forty-one million, six hundred twenty-nine thousand, eighty-eight".