90069000 has 128 divisors (see below), whose sum is σ = 321235200. Its totient is φ = 20582400.

The previous prime is 90068977. The next prime is 90069029. The reversal of 90069000 is 96009.

It is a super-2 number, since 2×90069000² = 16224849522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18856 + ... + 23144.

It is an arithmetic number, because the mean of its divisors is an integer number (2509650).

Almost surely, 2^90069000 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 90069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160617600).

90069000 is an abundant number, since it is smaller than the sum of its proper divisors (231166200).

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

90069000 is a wasteful number, since it uses less digits than its factorization.

90069000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 90069000 is about 9490.4689030627. The cubic root of 90069000 is about 448.2549701887.

The spelling of 90069000 in words is "ninety million, sixty-nine thousand".