874920 has 64 divisors (see below), whose sum is σ = 2747520. Its totient is φ = 222464.

The previous prime is 874919. The next prime is 874957. The reversal of 874920 is 29478.

874920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2602 + ... + 2918.

It is an arithmetic number, because the mean of its divisors is an integer number (42930).

2⁸⁷⁴⁹²⁰ 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 874920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373760).

874920 is an abundant number, since it is smaller than the sum of its proper divisors (1872600).

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

874920 is a wasteful number, since it uses less digits than its factorization.

874920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 874920 is about 935.3715839173. The cubic root of 874920 is about 95.6436441070.

The spelling of 874920 in words is "eight hundred seventy-four thousand, nine hundred twenty".