1653039072 has 144 divisors (see below), whose sum is σ = 4938530688. Its totient is φ = 523480320.

The previous prime is 1653039053. The next prime is 1653039077. The reversal of 1653039072 is 2709303561.

1653039072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653039077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078947 + ... + 1080477.

It is an arithmetic number, because the mean of its divisors is an integer number (34295352).

Almost surely, 2^1653039072 is an apocalyptic number.

1653039072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653039072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469265344).

1653039072 is an abundant number, since it is smaller than the sum of its proper divisors (3285491616).

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

1653039072 is a wasteful number, since it uses less digits than its factorization.

1653039072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 1653039072 is about 40657.5832041207. The cubic root of 1653039072 is about 1182.3907938488.

The spelling of 1653039072 in words is "one billion, six hundred fifty-three million, thirty-nine thousand, seventy-two".