9942624 has 144 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 2965248.

The previous prime is 9942619. The next prime is 9942629. The reversal of 9942624 is 4262499.

9942624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9942619) and next prime (9942629).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9942629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125817 + ... + 125895.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 2^9942624 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 9942624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

9942624 is an abundant number, since it is smaller than the sum of its proper divisors (21506976).

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

9942624 is a wasteful number, since it uses less digits than its factorization.

9942624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 9942624 is about 3153.1926677576. The cubic root of 9942624 is about 215.0306356201.

The spelling of 9942624 in words is "nine million, nine hundred forty-two thousand, six hundred twenty-four".