10772440 has 64 divisors (see below), whose sum is σ = 28108800. Its totient is φ = 3639168.

The previous prime is 10772413. The next prime is 10772453. The reversal of 10772440 is 4427701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21877 + ... + 22363.

It is an arithmetic number, because the mean of its divisors is an integer number (439200).

Almost surely, 2^10772440 is an apocalyptic number.

10772440 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 10772440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054400).

10772440 is an abundant number, since it is smaller than the sum of its proper divisors (17336360).

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

10772440 is a wasteful number, since it uses less digits than its factorization.

10772440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 10772440 is about 3282.1395460888. The cubic root of 10772440 is about 220.8537077044.

The spelling of 10772440 in words is "ten million, seven hundred seventy-two thousand, four hundred forty".