10605384 has 64 divisors (see below), whose sum is σ = 30278400. Its totient is φ = 3436992.

The previous prime is 10605383. The next prime is 10605431. The reversal of 10605384 is 48350601.

It is a super-2 number, since 2×10605384² = 224948339574912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605383) 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, 7329 + ... + 8655.

It is an arithmetic number, because the mean of its divisors is an integer number (473100).

Almost surely, 2^10605384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15139200).

10605384 is an abundant number, since it is smaller than the sum of its proper divisors (19673016).

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

10605384 is a wasteful number, since it uses less digits than its factorization.

10605384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10605384 is about 3256.5908554806. The cubic root of 10605384 is about 219.7061089525.

Adding to 10605384 its reverse (48350601), we get a palindrome (58955985).

The spelling of 10605384 in words is "ten million, six hundred five thousand, three hundred eighty-four".