11998480 has 80 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 4345344.

The previous prime is 11998439. The next prime is 11998487. The reversal of 11998480 is 8489911.

11998480 = T₁ + T₂ + ... + T₄₁₅.

11998480 is a nontrivial binomial coefficient, being equal to C(417, 3).

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11998487) by changing a digit.

It is the 415-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86251 + ... + 86389.

It is an arithmetic number, because the mean of its divisors is an integer number (382788).

Almost surely, 2^11998480 is an apocalyptic number.

11998480 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 11998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

11998480 is an abundant number, since it is smaller than the sum of its proper divisors (18624560).

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

11998480 is a wasteful number, since it uses less digits than its factorization.

11998480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 11998480 is about 3463.8822150876. The cubic root of 11998480 is about 228.9331816267.

The spelling of 11998480 in words is "eleven million, nine hundred ninety-eight thousand, four hundred eighty".