11380720 has 80 divisors (see below), whose sum is σ = 29498112. Its totient is φ = 4055040.

The previous prime is 11380717. The next prime is 11380723. The reversal of 11380720 is 2708311.

It is an interprime number because it is at equal distance from previous prime (11380717) and next prime (11380723).

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

It is a junction number, because it is equal to n+sod(n) for n = 11380691 and 11380700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11380723) 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, 32064 + ... + 32416.

Almost surely, 2^11380720 is an apocalyptic number.

11380720 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 11380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14749056).

11380720 is an abundant number, since it is smaller than the sum of its proper divisors (18117392).

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

11380720 is a wasteful number, since it uses less digits than its factorization.

11380720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

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

The square root of 11380720 is about 3373.5322734487. The cubic root of 11380720 is about 224.9347629799.

It can be divided in two parts, 11380 and 720, that added together give a square (12100 = 110²).

The spelling of 11380720 in words is "eleven million, three hundred eighty thousand, seven hundred twenty".