90042000 has 160 divisors (see below), whose sum is σ = 297897600. Its totient is φ = 23385600.

The previous prime is 90041999. The next prime is 90042023. The reversal of 90042000 is 24009.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257826 + ... + 258174.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^90042000 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 90042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

90042000 is an abundant number, since it is smaller than the sum of its proper divisors (207855600).

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

90042000 is a wasteful number, since it uses less digits than its factorization.

90042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 90042000 is about 9489.0463166748. The cubic root of 90042000 is about 448.2101745551.

Adding to 90042000 its reverse (24009), we get a palindrome (90066009).

The spelling of 90042000 in words is "ninety million, forty-two thousand".