90041000 has 128 divisors (see below), whose sum is σ = 253843200. Its totient is φ = 29203200.

The previous prime is 90040991. The next prime is 90041009. The reversal of 90041000 is 14009.

It is an interprime number because it is at equal distance from previous prime (90040991) and next prime (90041009).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (90041009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132662 + ... + 133338.

It is an arithmetic number, because the mean of its divisors is an integer number (1983150).

Almost surely, 2^90041000 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 90041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126921600).

90041000 is an abundant number, since it is smaller than the sum of its proper divisors (163802200).

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

90041000 is a wasteful number, since it uses less digits than its factorization.

90041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 90041000 is about 9488.9936241943. The cubic root of 90041000 is about 448.2085152856.

Adding to 90041000 its reverse (14009), we get a palindrome (90055009).

The spelling of 90041000 in words is "ninety million, forty-one thousand".