90208000 has 72 divisors (see below), whose sum is σ = 224799120. Its totient is φ = 36070400.

The previous prime is 90207989. The next prime is 90208003. The reversal of 90208000 is 80209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90208003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30591 + ... + 33409.

It is an arithmetic number, because the mean of its divisors is an integer number (3122210).

Almost surely, 2^90208000 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 90208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112399560).

90208000 is an abundant number, since it is smaller than the sum of its proper divisors (134591120).

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

90208000 is an equidigital number, since it uses as much as digits as its factorization.

90208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 90208000 is about 9497.7892164440. The cubic root of 90208000 is about 448.4854431820.

Adding to 90208000 its reverse (80209), we get a palindrome (90288209).

It can be divided in two parts, 9020 and 8000, that added together give a triangular number (17020 = T₁₈₄).

The spelling of 90208000 in words is "ninety million, two hundred eight thousand".