10393440 has 96 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 2717184.

The previous prime is 10393433. The next prime is 10393441. The reversal of 10393440 is 4439301.

10393440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 10393440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10393441) 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, 28137 + ... + 28503.

It is an arithmetic number, because the mean of its divisors is an integer number (347760).

Almost surely, 2^10393440 is an apocalyptic number.

10393440 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 10393440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

10393440 is an abundant number, since it is smaller than the sum of its proper divisors (22991520).

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

10393440 is a wasteful number, since it uses less digits than its factorization.

10393440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 10393440 is about 3223.8858540587. The cubic root of 10393440 is about 218.2326724893.

The spelling of 10393440 in words is "ten million, three hundred ninety-three thousand, four hundred forty".