9100890 has 64 divisors (see below), whose sum is σ = 24952320. Its totient is φ = 2358720.

The previous prime is 9100877. The next prime is 9100891. The reversal of 9100890 is 980019.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9100891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9535 + ... + 10445.

It is an arithmetic number, because the mean of its divisors is an integer number (389880).

Almost surely, 2^9100890 is an apocalyptic number.

9100890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9100890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476160).

9100890 is an abundant number, since it is smaller than the sum of its proper divisors (15851430).

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

9100890 is a wasteful number, since it uses less digits than its factorization.

9100890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 9100890 is about 3016.7681382566. The cubic root of 9100890 is about 208.7827538933.

The spelling of 9100890 in words is "nine million, one hundred thousand, eight hundred ninety".