90112000 has 136 divisors (see below), whose sum is σ = 245364912. Its totient is φ = 32768000.

The previous prime is 90111997. The next prime is 90112013. The reversal of 90112000 is 21109.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8191995 + ... + 8192005.

Almost surely, 2^90112000 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 90112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122682456).

90112000 is an abundant number, since it is smaller than the sum of its proper divisors (155252912).

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

90112000 is an frugal number, since it uses more digits than its factorization.

90112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 90112000 is about 9492.7340634824. The cubic root of 90112000 is about 448.3262929049.

Adding to 90112000 its reverse (21109), we get a palindrome (90133109).

It can be divided in two parts, 9011 and 2000, that added together give a palindrome (11011).

The spelling of 90112000 in words is "ninety million, one hundred twelve thousand".