10363440 has 80 divisors (see below), whose sum is σ = 33256800. Its totient is φ = 2666496.

The previous prime is 10363433. The next prime is 10363459. The reversal of 10363440 is 4436301.

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

It is a super-3 number, since 3×10363440³ (a number of 22 digits) contains 333 as substring.

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, 6216 + ... + 7704.

It is an arithmetic number, because the mean of its divisors is an integer number (415710).

Almost surely, 2^10363440 is an apocalyptic number.

10363440 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 10363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628400).

10363440 is an abundant number, since it is smaller than the sum of its proper divisors (22893360).

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

10363440 is a wasteful number, since it uses less digits than its factorization.

10363440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 10363440 is about 3219.2297215328. The cubic root of 10363440 is about 218.0224985898.

Adding to 10363440 its reverse (4436301), we get a palindrome (14799741).

The spelling of 10363440 in words is "ten million, three hundred sixty-three thousand, four hundred forty".