541706088 has 256 divisors, whose sum is σ = 1833891840. Its totient is φ = 129024000.

The previous prime is 541706041. The next prime is 541706107. The reversal of 541706088 is 880607145.

It is a super-4 number, since 4×541706088⁴ (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350688 + ... + 1351088.

It is an arithmetic number, because the mean of its divisors is an integer number (7163640).

Almost surely, 2^541706088 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 541706088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916945920).

541706088 is an abundant number, since it is smaller than the sum of its proper divisors (1292185752).

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

541706088 is a wasteful number, since it uses less digits than its factorization.

541706088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 541706088 is about 23274.5802969678. The cubic root of 541706088 is about 815.1819825217.

The spelling of 541706088 in words is "five hundred forty-one million, seven hundred six thousand, eighty-eight".