9750624 has 72 divisors (see below), whose sum is σ = 27761832. Its totient is φ = 2995200.

The previous prime is 9750623. The next prime is 9750649. The reversal of 9750624 is 4260579.

9750624 is nontrivially palindromic in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9750623) 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, 15924 + ... + 16524.

It is an arithmetic number, because the mean of its divisors is an integer number (385581).

Almost surely, 2^9750624 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 9750624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880916).

9750624 is an abundant number, since it is smaller than the sum of its proper divisors (18011208).

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

9750624 is a wasteful number, since it uses less digits than its factorization.

9750624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 9750624 is about 3122.5989175685. The cubic root of 9750624 is about 213.6374914903.

It can be divided in two parts, 97 and 50624, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 9750624 in words is "nine million, seven hundred fifty thousand, six hundred twenty-four".