10957440 has 128 divisors (see below), whose sum is σ = 37699200. Its totient is φ = 2691072.

The previous prime is 10957417. The next prime is 10957451. The reversal of 10957440 is 4475901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10957398 and 10957407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24741 + ... + 25179.

It is an arithmetic number, because the mean of its divisors is an integer number (294525).

Almost surely, 2^10957440 is an apocalyptic number.

10957440 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 10957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18849600).

10957440 is an abundant number, since it is smaller than the sum of its proper divisors (26741760).

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

10957440 is a wasteful number, since it uses less digits than its factorization.

10957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10957440 is about 3310.2024107296. The cubic root of 10957440 is about 222.1108123027.

The spelling of 10957440 in words is "ten million, nine hundred fifty-seven thousand, four hundred forty".