9976512 has 112 divisors (see below), whose sum is σ = 32544512. Its totient is φ = 2626560.

The previous prime is 9976511. The next prime is 9976523. The reversal of 9976512 is 2156799.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×9976512² = 199061583372288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (9976511) 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, 17187 + ... + 17757.

It is an arithmetic number, because the mean of its divisors is an integer number (290576).

Almost surely, 2^9976512 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 9976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272256).

9976512 is an abundant number, since it is smaller than the sum of its proper divisors (22568000).

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

9976512 is a wasteful number, since it uses less digits than its factorization.

9976512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 596 counting only the distinct ones).

The product of its digits is 34020, while the sum is 39.

The square root of 9976512 is about 3158.5616979885. The cubic root of 9976512 is about 215.2746588937.

The spelling of 9976512 in words is "nine million, nine hundred seventy-six thousand, five hundred twelve".