10788261 has 16 divisors (see below), whose sum is σ = 16234560. Its totient is φ = 6312320.

The previous prime is 10788259. The next prime is 10788263. The reversal of 10788261 is 16288701.

It is a happy number.

10788261 is digitally balanced in base 2, because in such base 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 (10788259) and next prime (10788263).

It is a cyclic number.

It is not a de Polignac number, because 10788261 - 2¹ = 10788259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10788263) 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, 4680 + ... + 6593.

It is an arithmetic number, because the mean of its divisors is an integer number (1014660).

Almost surely, 2^10788261 is an apocalyptic number.

10788261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10788261 is a deficient number, since it is larger than the sum of its proper divisors (5446299).

10788261 is a wasteful number, since it uses less digits than its factorization.

10788261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11316.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 10788261 is about 3284.5488274647. The cubic root of 10788261 is about 220.9617741329.

It can be divided in two parts, 1078 and 8261, that added together give a palindrome (9339).

The spelling of 10788261 in words is "ten million, seven hundred eighty-eight thousand, two hundred sixty-one".