9906624 has 252 divisors, whose sum is σ = 36889944. Its totient is φ = 2612736.

The previous prime is 9906599. The next prime is 9906653. The reversal of 9906624 is 4266099.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6 and base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 762042 + ... + 762054.

Almost surely, 2^9906624 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 9906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18444972).

9906624 is an abundant number, since it is smaller than the sum of its proper divisors (26983320).

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

9906624 is a wasteful number, since it uses less digits than its factorization.

9906624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9906624 is about 3147.4789911928. The cubic root of 9906624 is about 214.7707959422.

The spelling of 9906624 in words is "nine million, nine hundred six thousand, six hundred twenty-four".