653880 has 32 divisors (see below), whose sum is σ = 1962000. Its totient is φ = 174336.

The previous prime is 653879. The next prime is 653881. The reversal of 653880 is 88356.

It is an interprime number because it is at equal distance from previous prime (653879) and next prime (653881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653881) 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 7 ways as a sum of consecutive naturals, for example, 2605 + ... + 2844.

2⁶⁵³⁸⁸⁰ is an apocalyptic number.

653880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

653880 is an abundant number, since it is smaller than the sum of its proper divisors (1308120).

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

653880 is a wasteful number, since it uses less digits than its factorization.

653880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 653880 is about 808.6284684575. The cubic root of 653880 is about 86.7959280866.

The spelling of 653880 in words is "six hundred fifty-three thousand, eight hundred eighty".