11077920 has 216 divisors, whose sum is σ = 44255484. Its totient is φ = 2515968.

The previous prime is 11077909. The next prime is 11077921. The reversal of 11077920 is 2977011.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 345744 = 3276^2 + 588^2 .

It is not an unprimeable number, because it can be changed into a prime (11077921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70482 + ... + 70638.

Almost surely, 2^11077920 is an apocalyptic number.

11077920 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 11077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22127742).

11077920 is an abundant number, since it is smaller than the sum of its proper divisors (33177564).

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

11077920 is a wasteful number, since it uses less digits than its factorization.

11077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 11077920 is about 3328.3509430347. The cubic root of 11077920 is about 222.9219028477.

The spelling of 11077920 in words is "eleven million, seventy-seven thousand, nine hundred twenty".