653739072 has 112 divisors (see below), whose sum is σ = 1983345792. Its totient is φ = 186163200.

The previous prime is 653739049. The next prime is 653739091. The reversal of 653739072 is 270937356.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538338 + ... + 539550.

Almost surely, 2^653739072 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 653739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991672896).

653739072 is an abundant number, since it is smaller than the sum of its proper divisors (1329606720).

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

653739072 is a wasteful number, since it uses less digits than its factorization.

653739072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 42.

The square root of 653739072 is about 25568.3216500419. The cubic root of 653739072 is about 867.8969205178.

The spelling of 653739072 in words is "six hundred fifty-three million, seven hundred thirty-nine thousand, seventy-two".