10062144 has 84 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 3348864.

The previous prime is 10062121. The next prime is 10062149. The reversal of 10062144 is 44126001.

10062144 is a `hidden beast` number, since 1 + 0 + 0 + 621 + 44 = 666.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10062149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15229 + ... + 15875.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^10062144 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 10062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

10062144 is an abundant number, since it is smaller than the sum of its proper divisors (19893600).

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

10062144 is an frugal number, since it uses more digits than its factorization.

10062144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10062144 is about 3172.0882711551. The cubic root of 10062144 is about 215.8888316839. Note that the first 4 decimals are identical.

Adding to 10062144 its reverse (44126001), we get a palindrome (54188145).

The spelling of 10062144 in words is "ten million, sixty-two thousand, one hundred forty-four".