11277640 has 96 divisors (see below), whose sum is σ = 29626560. Its totient is φ = 3830400.

The previous prime is 11277631. The next prime is 11277649. The reversal of 11277640 is 4677211.

It is an interprime number because it is at equal distance from previous prime (11277631) and next prime (11277649).

It is a junction number, because it is equal to n+sod(n) for n = 11277599 and 11277608.

It is not an unprimeable number, because it can be changed into a prime (11277649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158805 + ... + 158875.

It is an arithmetic number, because the mean of its divisors is an integer number (308610).

Almost surely, 2^11277640 is an apocalyptic number.

11277640 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 11277640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813280).

11277640 is an abundant number, since it is smaller than the sum of its proper divisors (18348920).

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

11277640 is a wasteful number, since it uses less digits than its factorization.

11277640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 11277640 is about 3358.2197664834. The cubic root of 11277640 is about 224.2535924741.

The spelling of 11277640 in words is "eleven million, two hundred seventy-seven thousand, six hundred forty".