9677952 has 96 divisors (see below), whose sum is σ = 28853760. Its totient is φ = 3110400.

The previous prime is 9677929. The next prime is 9677953. The reversal of 9677952 is 2597769.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 9677898 and 9677907.

It is not an unprimeable number, because it can be changed into a prime (9677953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35577 + ... + 35847.

It is an arithmetic number, because the mean of its divisors is an integer number (300560).

Almost surely, 2^9677952 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 9677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426880).

9677952 is an abundant number, since it is smaller than the sum of its proper divisors (19175808).

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

9677952 is a wasteful number, since it uses less digits than its factorization.

9677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 9677952 is about 3110.9406937452. The cubic root of 9677952 is about 213.1054163113.

The spelling of 9677952 in words is "nine million, six hundred seventy-seven thousand, nine hundred fifty-two".