10270624 has 48 divisors (see below), whose sum is σ = 24893568. Its totient is φ = 4061952.

The previous prime is 10270607. The next prime is 10270633. The reversal of 10270624 is 42607201.

10270624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10270595 and 10270604.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1149 + ... + 4675.

It is an arithmetic number, because the mean of its divisors is an integer number (518616).

Almost surely, 2^10270624 is an apocalyptic number.

10270624 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 10270624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446784).

10270624 is an abundant number, since it is smaller than the sum of its proper divisors (14622944).

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

10270624 is a wasteful number, since it uses less digits than its factorization.

10270624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 10270624 is about 3204.7814278044. The cubic root of 10270624 is about 217.3696686920.

Adding to 10270624 its reverse (42607201), we get a palindrome (52877825).

The spelling of 10270624 in words is "ten million, two hundred seventy thousand, six hundred twenty-four".