9672600 has 192 divisors, whose sum is σ = 35712000. Its totient is φ = 2163840.

The previous prime is 9672557. The next prime is 9672617. The reversal of 9672600 is 62769.

9672600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205777 + ... + 205823.

It is an arithmetic number, because the mean of its divisors is an integer number (186000).

Almost surely, 2^9672600 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 9672600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

9672600 is an abundant number, since it is smaller than the sum of its proper divisors (26039400).

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

9672600 is a wasteful number, since it uses less digits than its factorization.

9672600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 9672600 is about 3110.0803848132. The cubic root of 9672600 is about 213.0661259567.

It can be divided in two parts, 96 and 72600, that multiplied together give a square (6969600 = 2640²).

The spelling of 9672600 in words is "nine million, six hundred seventy-two thousand, six hundred".