11498800 has 120 divisors (see below), whose sum is σ = 31136400. Its totient is φ = 4055040.

The previous prime is 11498797. The next prime is 11498803. The reversal of 11498800 is 889411.

It is an interprime number because it is at equal distance from previous prime (11498797) and next prime (11498803).

It is not an unprimeable number, because it can be changed into a prime (11498803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129156 + ... + 129244.

It is an arithmetic number, because the mean of its divisors is an integer number (259470).

Almost surely, 2^11498800 is an apocalyptic number.

11498800 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 11498800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568200).

11498800 is an abundant number, since it is smaller than the sum of its proper divisors (19637600).

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

11498800 is a wasteful number, since it uses less digits than its factorization.

11498800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 11498800 is about 3390.9880565994. The cubic root of 11498800 is about 225.7100204442.

The spelling of 11498800 in words is "eleven million, four hundred ninety-eight thousand, eight hundred".