9745632 has 144 divisors (see below), whose sum is σ = 31646160. Its totient is φ = 2820096.

The previous prime is 9745621. The next prime is 9745639. The reversal of 9745632 is 2365479.

9745632 is a `hidden beast` number, since 97 + 4 + 563 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9745639) 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, 71068 + ... + 71204.

It is an arithmetic number, because the mean of its divisors is an integer number (219765).

Almost surely, 2^9745632 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 9745632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823080).

9745632 is an abundant number, since it is smaller than the sum of its proper divisors (21900528).

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

9745632 is a wasteful number, since it uses less digits than its factorization.

9745632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 9745632 is about 3121.7994810686. The cubic root of 9745632 is about 213.6010268014.

The spelling of 9745632 in words is "nine million, seven hundred forty-five thousand, six hundred thirty-two".