653355072 has 168 divisors, whose sum is σ = 1989283296. Its totient is φ = 212502528.

The previous prime is 653355061. The next prime is 653355083. The reversal of 653355072 is 270553356.

653355072 is a `hidden beast` number, since 6 + 5 + 33 + 550 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (653355061) and next prime (653355083).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668248 + ... + 669224.

It is an arithmetic number, because the mean of its divisors is an integer number (11840972).

Almost surely, 2^653355072 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 653355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994641648).

653355072 is an abundant number, since it is smaller than the sum of its proper divisors (1335928224).

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

653355072 is an equidigital number, since it uses as much as digits as its factorization.

653355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The square root of 653355072 is about 25560.8112547313. The cubic root of 653355072 is about 867.7269558195.

It can be divided in two parts, 65335 and 5072, that added together give a palindrome (70407).

The spelling of 653355072 in words is "six hundred fifty-three million, three hundred fifty-five thousand, seventy-two".