90129000 has 128 divisors (see below), whose sum is σ = 302964480. Its totient is φ = 22176000.

The previous prime is 90128999. The next prime is 90129001. The reversal of 90129000 is 92109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90128999) and next prime (90129001).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90129001) 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 31 ways as a sum of consecutive naturals, for example, 37845 + ... + 40155.

It is an arithmetic number, because the mean of its divisors is an integer number (2366910).

Almost surely, 2^90129000 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 90129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151482240).

90129000 is an abundant number, since it is smaller than the sum of its proper divisors (212835480).

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

90129000 is a wasteful number, since it uses less digits than its factorization.

90129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 90129000 is about 9493.6294429475. The cubic root of 90129000 is about 448.3544839995.

The spelling of 90129000 in words is "ninety million, one hundred twenty-nine thousand".