11898640 has 80 divisors (see below), whose sum is σ = 31591728. Its totient is φ = 4128768.

The previous prime is 11898629. The next prime is 11898647. The reversal of 11898640 is 4689811.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 501264 + 11397376 = 708^2 + 3376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11898640.

It is not an unprimeable number, because it can be changed into a prime (11898647) 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 15 ways as a sum of consecutive naturals, for example, 17344 + ... + 18016.

Almost surely, 2^11898640 is an apocalyptic number.

11898640 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 11898640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15795864).

11898640 is an abundant number, since it is smaller than the sum of its proper divisors (19693088).

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

11898640 is a wasteful number, since it uses less digits than its factorization.

11898640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 11898640 is about 3449.4405343476. The cubic root of 11898640 is about 228.2964237259.

The spelling of 11898640 in words is "eleven million, eight hundred ninety-eight thousand, six hundred forty".