653976 has 48 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 210240.

The previous prime is 653969. The next prime is 653977. The reversal of 653976 is 679356.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 653976.

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 653976.

It is not an unprimeable number, because it can be changed into a prime (653977) 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 11 ways as a sum of consecutive naturals, for example, 2086 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁶⁵³⁹⁷⁶ 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 653976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917280).

653976 is an abundant number, since it is smaller than the sum of its proper divisors (1180584).

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

653976 is a wasteful number, since it uses less digits than its factorization.

653976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 653976 is about 808.6878260491. The cubic root of 653976 is about 86.8001755537.

The spelling of 653976 in words is "six hundred fifty-three thousand, nine hundred seventy-six".