10485120 has 128 divisors (see below), whose sum is σ = 34467840. Its totient is φ = 2709504.

The previous prime is 10485119. The next prime is 10485127. The reversal of 10485120 is 2158401.

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 (10485127) 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, 82497 + ... + 82623.

It is an arithmetic number, because the mean of its divisors is an integer number (269280).

Almost surely, 2^10485120 is an apocalyptic number.

10485120 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 10485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233920).

10485120 is an abundant number, since it is smaller than the sum of its proper divisors (23982720).

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

10485120 is a wasteful number, since it uses less digits than its factorization.

10485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 10485120 is about 3238.0735013276. The cubic root of 10485120 is about 218.8724680217.

The spelling of 10485120 in words is "ten million, four hundred eighty-five thousand, one hundred twenty".