653667352 has 64 divisors (see below), whose sum is σ = 1357534080. Its totient is φ = 293187072.

The previous prime is 653667347. The next prime is 653667359. The reversal of 653667352 is 253766356.

It is a super-3 number, since 3×653667352³ (a number of 27 digits) contains 333 as substring.

Its product of digits (680400) is a multiple of the sum of its prime divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 653667299 and 653667308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653667359) 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, 845238 + ... + 846010.

It is an arithmetic number, because the mean of its divisors is an integer number (21211470).

Almost surely, 2^653667352 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 653667352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678767040).

653667352 is an abundant number, since it is smaller than the sum of its proper divisors (703866728).

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

653667352 is a wasteful number, since it uses less digits than its factorization.

653667352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its digits is 680400, while the sum is 43.

The square root of 653667352 is about 25566.9190947990. The cubic root of 653667352 is about 867.8651811250.

The spelling of 653667352 in words is "six hundred fifty-three million, six hundred sixty-seven thousand, three hundred fifty-two".