10748200 has 48 divisors (see below), whose sum is σ = 25428060. Its totient is φ = 4224000.

The previous prime is 10748197. The next prime is 10748201. The reversal of 10748200 is 284701.

It can be written as a sum of positive squares in 6 ways, for example, as 289444 + 10458756 = 538^2 + 3234^2 .

It is not an unprimeable number, because it can be changed into a prime (10748201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11760 + ... + 12640.

Almost surely, 2^10748200 is an apocalyptic number.

10748200 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 10748200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12714030).

10748200 is an abundant number, since it is smaller than the sum of its proper divisors (14679860).

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

10748200 is a wasteful number, since it uses less digits than its factorization.

10748200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 10748200 is about 3278.4447532328. Note that the first 3 decimals coincide. The cubic root of 10748200 is about 220.6879292811.

The spelling of 10748200 in words is "ten million, seven hundred forty-eight thousand, two hundred".