11377440 has 72 divisors (see below), whose sum is σ = 38830428. Its totient is φ = 3033600.

The previous prime is 11377423. The next prime is 11377441. The reversal of 11377440 is 4477311.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 7056 = 3372^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11377440² = 258892281907200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11377441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2511 + ... + 5390.

Almost surely, 2^11377440 is an apocalyptic number.

11377440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11377440 is an abundant number, since it is smaller than the sum of its proper divisors (27452988).

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

11377440 is a wasteful number, since it uses less digits than its factorization.

11377440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 11377440 is about 3373.0461010784. The cubic root of 11377440 is about 224.9131516667.

The spelling of 11377440 in words is "eleven million, three hundred seventy-seven thousand, four hundred forty".