974656 has 28 divisors (see below), whose sum is σ = 1966468. Its totient is φ = 479232.

The previous prime is 974653. The next prime is 974657. The reversal of 974656 is 656479.

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 614656 = 600^2 + 784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6130 + ... + 6286.

It is an arithmetic number, because the mean of its divisors is an integer number (70231).

2⁹⁷⁴⁶⁵⁶ 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 974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983234).

974656 is an abundant number, since it is smaller than the sum of its proper divisors (991812).

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

974656 is a wasteful number, since it uses less digits than its factorization.

974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 974656 is about 987.2466763682. The cubic root of 974656 is about 99.1479609124.

Subtracting from 974656 its product of digits (45360), we obtain a square (929296 = 964²).

It can be divided in two parts, 97 and 4656, that added together give a triangular number (4753 = T₉₇).

The spelling of 974656 in words is "nine hundred seventy-four thousand, six hundred fifty-six".