90408129 has 16 divisors (see below), whose sum is σ = 137905152. Its totient is φ = 51609168.

The previous prime is 90408127. The next prime is 90408139. The reversal of 90408129 is 92180409.

It is not a de Polignac number, because 90408129 - 2¹ = 90408127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90408129.

It is not an unprimeable number, because it can be changed into a prime (90408127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29692 + ... + 32594.

It is an arithmetic number, because the mean of its divisors is an integer number (8619072).

Almost surely, 2^90408129 is an apocalyptic number.

It is an amenable number.

90408129 is a deficient number, since it is larger than the sum of its proper divisors (47497023).

90408129 is a wasteful number, since it uses less digits than its factorization.

90408129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 90408129 is about 9508.3189365944. The cubic root of 90408129 is about 448.8168574332.

The spelling of 90408129 in words is "ninety million, four hundred eight thousand, one hundred twenty-nine".