10498880 has 112 divisors (see below), whose sum is σ = 29504640. Its totient is φ = 3483648.

The previous prime is 10498871. The next prime is 10498889. The reversal of 10498880 is 8889401.

10498880 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (10498871) and next prime (10498889).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10498880² = 220452962508800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10498889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96266 + ... + 96374.

Almost surely, 2^10498880 is an apocalyptic number.

10498880 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 10498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752320).

10498880 is an abundant number, since it is smaller than the sum of its proper divisors (19005760).

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

10498880 is a wasteful number, since it uses less digits than its factorization.

10498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 10498880 is about 3240.1975248432. The cubic root of 10498880 is about 218.9681709057.

The spelling of 10498880 in words is "ten million, four hundred ninety-eight thousand, eight hundred eighty".