11651120 has 80 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 4042752.

The previous prime is 11651117. The next prime is 11651131. The reversal of 11651120 is 2115611.

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 (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17351 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 2^11651120 is an apocalyptic number.

11651120 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 11651120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

11651120 is an abundant number, since it is smaller than the sum of its proper divisors (19284400).

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

11651120 is a wasteful number, since it uses less digits than its factorization.

11651120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 11651120 is about 3413.3736976780. The cubic root of 11651120 is about 226.7022819853.

Adding to 11651120 its reverse (2115611), we get a palindrome (13766731).

The spelling of 11651120 in words is "eleven million, six hundred fifty-one thousand, one hundred twenty".