10820480 has 128 divisors (see below), whose sum is σ = 29743200. Its totient is φ = 3727360.

The previous prime is 10820473. The next prime is 10820489. The reversal of 10820480 is 8402801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204134 + ... + 204186.

Almost surely, 2^10820480 is an apocalyptic number.

10820480 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 10820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871600).

10820480 is an abundant number, since it is smaller than the sum of its proper divisors (18922720).

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

10820480 is a wasteful number, since it uses less digits than its factorization.

10820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 10820480 is about 3289.4498020186. The cubic root of 10820480 is about 221.1815220000.

The spelling of 10820480 in words is "ten million, eight hundred twenty thousand, four hundred eighty".