974880 has 72 divisors (see below), whose sum is σ = 3331692. Its totient is φ = 259584.

The previous prime is 974879. The next prime is 974887. The reversal of 974880 is 88479.

It can be written as a sum of positive squares in 2 ways, for example, as 898704 + 76176 = 948^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (974887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1102 + ... + 1778.

2⁹⁷⁴⁸⁸⁰ is an apocalyptic number.

974880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665846).

974880 is an abundant number, since it is smaller than the sum of its proper divisors (2356812).

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

974880 is a wasteful number, since it uses less digits than its factorization.

974880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 974880 is about 987.3601166748. The cubic root of 974880 is about 99.1555558800.

The spelling of 974880 in words is "nine hundred seventy-four thousand, eight hundred eighty".