11898144 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 3868416.

The previous prime is 11898121. The next prime is 11898151. The reversal of 11898144 is 44189811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11898099 and 11898108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40462 + ... + 40754.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 2^11898144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11898144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

11898144 is an abundant number, since it is smaller than the sum of its proper divisors (23664096).

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

11898144 is a wasteful number, since it uses less digits than its factorization.

11898144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 345 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 11898144 is about 3449.3686378814. The cubic root of 11898144 is about 228.2932514699.

It can be divided in two parts, 118981 and 44, that added together give a square (119025 = 345²).

The spelling of 11898144 in words is "eleven million, eight hundred ninety-eight thousand, one hundred forty-four".