10254624 has 48 divisors (see below), whose sum is σ = 27655488. Its totient is φ = 3324672.

The previous prime is 10254617. The next prime is 10254653. The reversal of 10254624 is 42645201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10254594 and 10254603.

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, 2109 + ... + 4995.

It is an arithmetic number, because the mean of its divisors is an integer number (576156).

Almost surely, 2^10254624 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 10254624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827744).

10254624 is an abundant number, since it is smaller than the sum of its proper divisors (17400864).

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

10254624 is a wasteful number, since it uses less digits than its factorization.

10254624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 10254624 is about 3202.2841847656. The cubic root of 10254624 is about 217.2567342271.

Adding to 10254624 its reverse (42645201), we get a palindrome (52899825).

It can be divided in two parts, 10254 and 624, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10254624 in words is "ten million, two hundred fifty-four thousand, six hundred twenty-four".