11617480 has 32 divisors (see below), whose sum is σ = 29874240. Its totient is φ = 3983040.

The previous prime is 11617471. The next prime is 11617483. The reversal of 11617480 is 8471611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11617483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20466 + ... + 21025.

It is an arithmetic number, because the mean of its divisors is an integer number (933570).

Almost surely, 2^11617480 is an apocalyptic number.

11617480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11617480 is an abundant number, since it is smaller than the sum of its proper divisors (18256760).

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

11617480 is a wasteful number, since it uses less digits than its factorization.

11617480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41509 (or 41505 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 11617480 is about 3408.4424595407. The cubic root of 11617480 is about 226.4838876372.

The spelling of 11617480 in words is "eleven million, six hundred seventeen thousand, four hundred eighty".