9954672 has 160 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 2515968.

The previous prime is 9954667. The next prime is 9954683. The reversal of 9954672 is 2764599.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187798 + ... + 187850.

Almost surely, 2^9954672 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 9954672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

9954672 is an abundant number, since it is smaller than the sum of its proper divisors (23043216).

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

9954672 is a wasteful number, since it uses less digits than its factorization.

9954672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 9954672 is about 3155.1025339916. The cubic root of 9954672 is about 215.1174552020.

9954672 divided by its sum of digits (42) gives a triangular number (237016 = T₆₈₈).

The spelling of 9954672 in words is "nine million, nine hundred fifty-four thousand, six hundred seventy-two".