10771440 has 80 divisors (see below), whose sum is σ = 34322208. Its totient is φ = 2792448.

The previous prime is 10771433. The next prime is 10771447. The reversal of 10771440 is 4417701.

10771440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10771433) and next prime (10771447).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10771440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10771447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8274 + ... + 9486.

Almost surely, 2^10771440 is an apocalyptic number.

10771440 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 10771440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17161104).

10771440 is an abundant number, since it is smaller than the sum of its proper divisors (23550768).

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

10771440 is a wasteful number, since it uses less digits than its factorization.

10771440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 10771440 is about 3281.9872029001. The cubic root of 10771440 is about 220.8468735814.

It can be divided in two parts, 10771 and 440, that added together give a palindrome (11211).

The spelling of 10771440 in words is "ten million, seven hundred seventy-one thousand, four hundred forty".