90729558 has 40 divisors (see below), whose sum is σ = 204702960. Its totient is φ = 30034800.

The previous prime is 90729553. The next prime is 90729559. The reversal of 90729558 is 85592709.

It is a happy number.

90729558 is a `hidden beast` number, since 90 + 7 + 2 + 9 + 558 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90729553) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 22608 + ... + 26316.

It is an arithmetic number, because the mean of its divisors is an integer number (5117574).

Almost surely, 2^90729558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90729558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102351480).

90729558 is an abundant number, since it is smaller than the sum of its proper divisors (113973402).

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

90729558 is a wasteful number, since it uses less digits than its factorization.

90729558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 90729558 is about 9525.2064544555. The cubic root of 90729558 is about 449.3481228029.

The spelling of 90729558 in words is "ninety million, seven hundred twenty-nine thousand, five hundred fifty-eight".