653857248 has 96 divisors (see below), whose sum is σ = 1953891072. Its totient is φ = 189516800.

The previous prime is 653857223. The next prime is 653857249. The reversal of 653857248 is 842758356.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 653857197 and 653857206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653857249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10828 + ... + 37748.

It is an arithmetic number, because the mean of its divisors is an integer number (20353032).

Almost surely, 2^653857248 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 653857248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976945536).

653857248 is an abundant number, since it is smaller than the sum of its proper divisors (1300033824).

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

653857248 is a wasteful number, since it uses less digits than its factorization.

653857248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26968 (or 26960 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 653857248 is about 25570.6325303071. The cubic root of 653857248 is about 867.9492137600.

The spelling of 653857248 in words is "six hundred fifty-three million, eight hundred fifty-seven thousand, two hundred forty-eight".