10800000 has 192 divisors, whose sum is σ = 39841200. Its totient is φ = 2880000.

The previous prime is 10799993. The next prime is 10800007. The reversal of 10800000 is 801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (10799993) and next prime (10800007).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800007) 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, 2159998 + ... + 2160002.

Almost surely, 2^10800000 is an apocalyptic number.

10800000 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 10800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19920600).

10800000 is an abundant number, since it is smaller than the sum of its proper divisors (29041200).

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

10800000 is an frugal number, since it uses more digits than its factorization.

10800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10800000 is about 3286.3353450310. The cubic root of 10800000 is about 221.0418899184.

Adding to 10800000 its reverse (801), we get a palindrome (10800801).

It can be divided in two parts, 10 and 800000, that multiplied together give a cube (8000000 = 200³).

The spelling of 10800000 in words is "ten million, eight hundred thousand".