653820 has 48 divisors (see below), whose sum is σ = 1941408. Its totient is φ = 163840.

The previous prime is 653819. The next prime is 653831. The reversal of 653820 is 28356.

It is a congruent number.

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, 700 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (40446).

2⁶⁵³⁸²⁰ is an apocalyptic number.

653820 is a gapful number since it is divisible by the number (60) 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 653820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970704).

653820 is an abundant number, since it is smaller than the sum of its proper divisors (1287588).

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

653820 is a wasteful number, since it uses less digits than its factorization.

653820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 653820 is about 808.5913677501. The cubic root of 653820 is about 86.7932732086.

Subtracting from 653820 its sum of digits (24), we obtain a triangular number (653796 = T₁₁₄₃).

The spelling of 653820 in words is "six hundred fifty-three thousand, eight hundred twenty".