9971604 has 36 divisors (see below), whose sum is σ = 26304096. Its totient is φ = 3179088.

The previous prime is 9971603. The next prime is 9971641. The reversal of 9971604 is 4061799.

It is a tau number, because it is divible by the number of its divisors (36).

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 (9971603) 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, 5194 + ... + 6849.

Almost surely, 2^9971604 is an apocalyptic number.

It is an amenable number.

9971604 is an abundant number, since it is smaller than the sum of its proper divisors (16332492).

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

9971604 is a wasteful number, since it uses less digits than its factorization.

9971604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12076 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9971604 is about 3157.7846665028. The cubic root of 9971604 is about 215.2393512520.

It can be divided in two parts, 997 and 1604, that added together give a square (2601 = 51²).

The spelling of 9971604 in words is "nine million, nine hundred seventy-one thousand, six hundred four".