10902880 has 48 divisors (see below), whose sum is σ = 26100144. Its totient is φ = 4303360.

The previous prime is 10902877. The next prime is 10902883. The reversal of 10902880 is 8820901.

It is an interprime number because it is at equal distance from previous prime (10902877) and next prime (10902883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10902883) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12870 + ... + 13690.

It is an arithmetic number, because the mean of its divisors is an integer number (543753).

Almost surely, 2^10902880 is an apocalyptic number.

10902880 is a gapful number since it is divisible by the number (10) 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 10902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13050072).

10902880 is an abundant number, since it is smaller than the sum of its proper divisors (15197264).

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

10902880 is an equidigital number, since it uses as much as digits as its factorization.

10902880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 10902880 is about 3301.9509384605. The cubic root of 10902880 is about 221.7415491882.

The spelling of 10902880 in words is "ten million, nine hundred two thousand, eight hundred eighty".