9200880 has 120 divisors (see below), whose sum is σ = 33310368. Its totient is φ = 2262528.

The previous prime is 9200879. The next prime is 9200881. The reversal of 9200880 is 880029.

9200880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9200879) and next prime (9200881).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9200881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8869 + ... + 9851.

Almost surely, 2^9200880 is an apocalyptic number.

9200880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9200880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655184).

9200880 is an abundant number, since it is smaller than the sum of its proper divisors (24109488).

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

9200880 is a wasteful number, since it uses less digits than its factorization.

9200880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 9200880 is about 3033.2952378560. The cubic root of 9200880 is about 209.5445913402.

The spelling of 9200880 in words is "nine million, two hundred thousand, eight hundred eighty".