653874 has 32 divisors (see below), whose sum is σ = 1439424. Its totient is φ = 196800.

The previous prime is 653831. The next prime is 653879. The reversal of 653874 is 478356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653879) 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 15 ways as a sum of consecutive naturals, for example, 6424 + ... + 6524.

It is an arithmetic number, because the mean of its divisors is an integer number (44982).

2⁶⁵³⁸⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719712).

653874 is an abundant number, since it is smaller than the sum of its proper divisors (785550).

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

653874 is a wasteful number, since it uses less digits than its factorization.

653874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202.

The product of its digits is 20160, while the sum is 33.

The square root of 653874 is about 808.6247584634. The cubic root of 653874 is about 86.7956626061.

The spelling of 653874 in words is "six hundred fifty-three thousand, eight hundred seventy-four".