11395080 has 80 divisors (see below), whose sum is σ = 38311020. Its totient is φ = 3037824.

The previous prime is 11395037. The next prime is 11395127. The reversal of 11395080 is 8059311.

It can be written as a sum of positive squares in 2 ways, for example, as 10850436 + 544644 = 3294^2 + 738^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1482 + ... + 4998.

Almost surely, 2^11395080 is an apocalyptic number.

11395080 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 11395080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155510).

11395080 is an abundant number, since it is smaller than the sum of its proper divisors (26915940).

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

11395080 is a wasteful number, since it uses less digits than its factorization.

11395080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11395080 is about 3375.6599354793. The cubic root of 11395080 is about 225.0293295100.

The spelling of 11395080 in words is "eleven million, three hundred ninety-five thousand, eighty".