11702080 has 112 divisors (see below), whose sum is σ = 31363920. Its totient is φ = 4128768.

The previous prime is 11702059. The next prime is 11702083. The reversal of 11702080 is 8020711.

It can be written as a sum of positive squares in 8 ways, for example, as 891136 + 10810944 = 944^2 + 3288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11702083) 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, 120592 + ... + 120688.

It is an arithmetic number, because the mean of its divisors is an integer number (280035).

Almost surely, 2^11702080 is an apocalyptic number.

11702080 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 11702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681960).

11702080 is an abundant number, since it is smaller than the sum of its proper divisors (19661840).

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

11702080 is a wasteful number, since it uses less digits than its factorization.

11702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 11702080 is about 3420.8303085655. The cubic root of 11702080 is about 227.0323202378.

Adding to 11702080 its reverse (8020711), we get a palindrome (19722791).

It can be divided in two parts, 1170 and 2080, that multiplied together give a square (2433600 = 1560²).

The spelling of 11702080 in words is "eleven million, seven hundred two thousand, eighty".