11147920 has 80 divisors (see below), whose sum is σ = 31390848. Its totient is φ = 3594240.

The previous prime is 11147911. The next prime is 11147921. The reversal of 11147920 is 2974111.

11147920 = T₃₈₉ + T₃₉₀ + ... + T₅₀₀.

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

It is a super-2 number, since 2×11147920² = 248552240652800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11147921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8935 + ... + 10105.

Almost surely, 2^11147920 is an apocalyptic number.

11147920 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 11147920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15695424).

11147920 is an abundant number, since it is smaller than the sum of its proper divisors (20242928).

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

11147920 is a wasteful number, since it uses less digits than its factorization.

11147920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 11147920 is about 3338.8501014571. The cubic root of 11147920 is about 223.3904559213.

The spelling of 11147920 in words is "eleven million, one hundred forty-seven thousand, nine hundred twenty".