973644 has 48 divisors (see below), whose sum is σ = 2650368. Its totient is φ = 272448.

The previous prime is 973631. The next prime is 973657. The reversal of 973644 is 446379.

It is an interprime number because it is at equal distance from previous prime (973631) and next prime (973657).

Its product of digits (18144) is a multiple of the sum of its prime divisors (252).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973644.

It is an unprimeable number.

973644 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5542 + ... + 5714.

It is an arithmetic number, because the mean of its divisors is an integer number (55216).

2⁹⁷³⁶⁴⁴ 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 973644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325184).

973644 is an abundant number, since it is smaller than the sum of its proper divisors (1676724).

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

973644 is a wasteful number, since it uses less digits than its factorization.

973644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 252 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 973644 is about 986.7340067110. The cubic root of 973644 is about 99.1136334219.

It can be divided in two parts, 97 and 3644, that added together give a triangular number (3741 = T₈₆).

The spelling of 973644 in words is "nine hundred seventy-three thousand, six hundred forty-four".