9900672 has 128 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 2939904.

The previous prime is 9900661. The next prime is 9900677. The reversal of 9900672 is 2760099.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (9900677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167779 + ... + 167837.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 2^9900672 is an apocalyptic number.

9900672 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

9900672 is an abundant number, since it is smaller than the sum of its proper divisors (19475328).

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

9900672 is a wasteful number, since it uses less digits than its factorization.

9900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 9900672 is about 3146.5333305084. The cubic root of 9900672 is about 214.7277751691.

The spelling of 9900672 in words is "nine million, nine hundred thousand, six hundred seventy-two".