1653880720 has 20 divisors (see below), whose sum is σ = 3845272860. Its totient is φ = 661552256.

The previous prime is 1653880693. The next prime is 1653880727. The reversal of 1653880720 is 270883561.

It can be written as a sum of positive squares in 2 ways, for example, as 500327424 + 1153553296 = 22368^2 + 33964^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1653880727) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10336675 + ... + 10336834.

It is an arithmetic number, because the mean of its divisors is an integer number (192263643).

Almost surely, 2^1653880720 is an apocalyptic number.

1653880720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1653880720 is an abundant number, since it is smaller than the sum of its proper divisors (2191392140).

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

1653880720 is a wasteful number, since it uses less digits than its factorization.

1653880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20673522 (or 20673516 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1653880720 is about 40667.9323300312. The cubic root of 1653880720 is about 1182.5914319778.

The spelling of 1653880720 in words is "one billion, six hundred fifty-three million, eight hundred eighty thousand, seven hundred twenty".