10214624 has 48 divisors (see below), whose sum is σ = 23740416. Its totient is φ = 4233600.

The previous prime is 10214623. The next prime is 10214663. The reversal of 10214624 is 42641201.

It is a super-2 number, since 2×10214624² = 208677086922752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10214596 and 10214605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6209 + ... + 7679.

It is an arithmetic number, because the mean of its divisors is an integer number (494592).

Almost surely, 2^10214624 is an apocalyptic number.

10214624 is a gapful number since it is divisible by the number (14) 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 10214624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870208).

10214624 is an abundant number, since it is smaller than the sum of its proper divisors (13525792).

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

10214624 is a wasteful number, since it uses less digits than its factorization.

10214624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10214624 is about 3196.0325405102. The cubic root of 10214624 is about 216.9738831856.

Adding to 10214624 its reverse (42641201), we get a palindrome (52855825).

The spelling of 10214624 in words is "ten million, two hundred fourteen thousand, six hundred twenty-four".