11345920 has 56 divisors (see below), whose sum is σ = 27326844. Its totient is φ = 4521984.

The previous prime is 11345911. The next prime is 11345921. The reversal of 11345920 is 2954311.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 692224 = 3264^2 + 832^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11345921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40822 + ... + 41098.

Almost surely, 2^11345920 is an apocalyptic number.

11345920 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 11345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663422).

11345920 is an abundant number, since it is smaller than the sum of its proper divisors (15980924).

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

11345920 is an frugal number, since it uses more digits than its factorization.

11345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 11345920 is about 3368.3705259368. The cubic root of 11345920 is about 224.7052601633.

The spelling of 11345920 in words is "eleven million, three hundred forty-five thousand, nine hundred twenty".