11077520 has 20 divisors (see below), whose sum is σ = 25755420. Its totient is φ = 4430976.

The previous prime is 11077501. The next prime is 11077529. The reversal of 11077520 is 2577011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 6948496 = 2032^2 + 2636^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×11077520² = 245422898700800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11077529) 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, 69155 + ... + 69314.

It is an arithmetic number, because the mean of its divisors is an integer number (1287771).

Almost surely, 2^11077520 is an apocalyptic number.

11077520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11077520 is an abundant number, since it is smaller than the sum of its proper divisors (14677900).

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

11077520 is a wasteful number, since it uses less digits than its factorization.

11077520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138482 (or 138476 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 11077520 is about 3328.2908526750. The cubic root of 11077520 is about 222.9192197376.

The spelling of 11077520 in words is "eleven million, seventy-seven thousand, five hundred twenty".