874560 has 56 divisors (see below), whose sum is σ = 2779776. Its totient is φ = 232960.

The previous prime is 874547. The next prime is 874567. The reversal of 874560 is 65478.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 874560.

It is not an unprimeable number, because it can be changed into a prime (874567) by changing a digit.

874560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 505 + ... + 1415.

2⁸⁷⁴⁵⁶⁰ is an apocalyptic number.

874560 is a gapful number since it is divisible by the number (80) 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 874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389888).

874560 is an abundant number, since it is smaller than the sum of its proper divisors (1905216).

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

874560 is a wasteful number, since it uses less digits than its factorization.

874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 874560 is about 935.1791272264. The cubic root of 874560 is about 95.6305242654.

The spelling of 874560 in words is "eight hundred seventy-four thousand, five hundred sixty".