11146720 has 96 divisors (see below), whose sum is σ = 29719872. Its totient is φ = 3919872.

The previous prime is 11146703. The next prime is 11146727. The reversal of 11146720 is 2764111.

It is a junction number, because it is equal to n+sod(n) for n = 11146691 and 11146700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146727) 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, 47724 + ... + 47956.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 2^11146720 is an apocalyptic number.

11146720 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 11146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859936).

11146720 is an abundant number, since it is smaller than the sum of its proper divisors (18573152).

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

11146720 is a wasteful number, since it uses less digits than its factorization.

11146720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 11146720 is about 3338.6703940341. The cubic root of 11146720 is about 223.3824401310.

The spelling of 11146720 in words is "eleven million, one hundred forty-six thousand, seven hundred twenty".