10014048 has 144 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 2903040.

The previous prime is 10014031. The next prime is 10014079. The reversal of 10014048 is 84041001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10014048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91818 + ... + 91926.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 2^10014048 is an apocalyptic number.

10014048 is a gapful number since it is divisible by the number (18) 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 10014048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

10014048 is an abundant number, since it is smaller than the sum of its proper divisors (22418352).

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

10014048 is a wasteful number, since it uses less digits than its factorization.

10014048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10014048 is about 3164.4980644646. The cubic root of 10014048 is about 215.5443067940.

Adding to 10014048 its reverse (84041001), we get a palindrome (94055049).

The spelling of 10014048 in words is "ten million, fourteen thousand, forty-eight".