10954240 has 80 divisors (see below), whose sum is σ = 28725840. Its totient is φ = 3973120.

The previous prime is 10954231. The next prime is 10954249. The reversal of 10954240 is 4245901.

10954240 = 419² + 420² + ... + 473².

It is an interprime number because it is at equal distance from previous prime (10954231) and next prime (10954249).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10954249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27966 + ... + 28354.

It is an arithmetic number, because the mean of its divisors is an integer number (359073).

Almost surely, 2^10954240 is an apocalyptic number.

10954240 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 10954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362920).

10954240 is an abundant number, since it is smaller than the sum of its proper divisors (17771600).

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

10954240 is an equidigital number, since it uses as much as digits as its factorization.

10954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 10954240 is about 3309.7190213068. The cubic root of 10954240 is about 222.0891885232.

It can be divided in two parts, 1095 and 4240, that added together give a palindrome (5335).

The spelling of 10954240 in words is "ten million, nine hundred fifty-four thousand, two hundred forty".