653940 has 96 divisors (see below), whose sum is σ = 2338560. Its totient is φ = 148608.

The previous prime is 653929. The next prime is 653941. The reversal of 653940 is 49356.

It is a happy number.

653940 is a `hidden beast` number, since 653 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653940.

It is not an unprimeable number, because it can be changed into a prime (653941) by changing a digit.

653940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3694 + ... + 3866.

It is an arithmetic number, because the mean of its divisors is an integer number (24360).

2⁶⁵³⁹⁴⁰ is an apocalyptic number.

653940 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 653940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169280).

653940 is an abundant number, since it is smaller than the sum of its proper divisors (1684620).

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

653940 is a wasteful number, since it uses less digits than its factorization.

653940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 653940 is about 808.6655674628. The cubic root of 653940 is about 86.7985828023.

It can be divided in two parts, 65 and 3940, that added together give a triangular number (4005 = T₈₉).

The spelling of 653940 in words is "six hundred fifty-three thousand, nine hundred forty".