10800738 has 48 divisors (see below), whose sum is σ = 25506936. Its totient is φ = 3283200.

The previous prime is 10800737. The next prime is 10800739. The reversal of 10800738 is 83700801.

It is an interprime number because it is at equal distance from previous prime (10800737) and next prime (10800739).

It can be written as a sum of positive squares in 4 ways, for example, as 10712529 + 88209 = 3273^2 + 297^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

10800738 is a modest number, since divided by 738 gives 108 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10800737) 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 23 ways as a sum of consecutive naturals, for example, 23406 + ... + 23862.

Almost surely, 2^10800738 is an apocalyptic number.

10800738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10800738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753468).

10800738 is an abundant number, since it is smaller than the sum of its proper divisors (14706198).

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

10800738 is a wasteful number, since it uses less digits than its factorization.

10800738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10800738 is about 3286.4476262372. The cubic root of 10800738 is about 221.0469246468.

The spelling of 10800738 in words is "ten million, eight hundred thousand, seven hundred thirty-eight".