653686040 has 128 divisors (see below), whose sum is σ = 1791590400. Its totient is φ = 209541120.

The previous prime is 653686037. The next prime is 653686049. The reversal of 653686040 is 40686356.

It is a junction number, because it is equal to n+sod(n) for n = 653685985 and 653686003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653686049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908801 + ... + 909519.

It is an arithmetic number, because the mean of its divisors is an integer number (13996800).

Almost surely, 2^653686040 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 653686040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895795200).

653686040 is an abundant number, since it is smaller than the sum of its proper divisors (1137904360).

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

653686040 is a wasteful number, since it uses less digits than its factorization.

653686040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 653686040 is about 25567.2845644585. The cubic root of 653686040 is about 867.8734516467.

The spelling of 653686040 in words is "six hundred fifty-three million, six hundred eighty-six thousand, forty".