11517480 has 192 divisors, whose sum is σ = 42456960. Its totient is φ = 2686464.

The previous prime is 11517469. The next prime is 11517481. The reversal of 11517480 is 8471511.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11517481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107587 + ... + 107693.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 2^11517480 is an apocalyptic number.

11517480 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 11517480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

11517480 is an abundant number, since it is smaller than the sum of its proper divisors (30939480).

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

11517480 is a wasteful number, since it uses less digits than its factorization.

11517480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 11517480 is about 3393.7412983314. The cubic root of 11517480 is about 225.8321776000.

Adding to 11517480 its reverse (8471511), we get a palindrome (19988991).

The spelling of 11517480 in words is "eleven million, five hundred seventeen thousand, four hundred eighty".