9976032 has 144 divisors (see below), whose sum is σ = 32078592. Its totient is φ = 2914560.

The previous prime is 9976027. The next prime is 9976037. The reversal of 9976032 is 2306799.

It is an interprime number because it is at equal distance from previous prime (9976027) and next prime (9976037).

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 (9976037) 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, 148863 + ... + 148929.

It is an arithmetic number, because the mean of its divisors is an integer number (222768).

Almost surely, 2^9976032 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 9976032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296).

9976032 is an abundant number, since it is smaller than the sum of its proper divisors (22102560).

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

9976032 is a wasteful number, since it uses less digits than its factorization.

9976032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9976032 is about 3158.4857131227. The cubic root of 9976032 is about 215.2712063346.

The spelling of 9976032 in words is "nine million, nine hundred seventy-six thousand, thirty-two".