11172480 has 192 divisors, whose sum is σ = 40612320. Its totient is φ = 2590720.

The previous prime is 11172479. The next prime is 11172481. The reversal of 11172480 is 8427111.

It is an interprime number because it is at equal distance from previous prime (11172479) and next prime (11172481).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11172480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11172481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485749 + ... + 485771.

Almost surely, 2^11172480 is an apocalyptic number.

11172480 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 11172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20306160).

11172480 is an abundant number, since it is smaller than the sum of its proper divisors (29439840).

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

11172480 is a wasteful number, since it uses less digits than its factorization.

11172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 11172480 is about 3342.5259909236. The cubic root of 11172480 is about 223.5543862161.

Adding to 11172480 its reverse (8427111), we get a palindrome (19599591).

The spelling of 11172480 in words is "eleven million, one hundred seventy-two thousand, four hundred eighty".