1653172340 has 48 divisors (see below), whose sum is σ = 3600920064. Its totient is φ = 636854400.

The previous prime is 1653172319. The next prime is 1653172379. The reversal of 1653172340 is 432713561.

It is a junction number, because it is equal to n+sod(n) for n = 1653172297 and 1653172306.

It is a congruent number.

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, 124502 + ... + 137138.

It is an arithmetic number, because the mean of its divisors is an integer number (75019168).

Almost surely, 2^1653172340 is an apocalyptic number.

1653172340 is a gapful number since it is divisible by the number (10) 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 1653172340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800460032).

1653172340 is an abundant number, since it is smaller than the sum of its proper divisors (1947747724).

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

1653172340 is a wasteful number, since it uses less digits than its factorization.

1653172340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12888 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1653172340 is about 40659.2220781461. Note that the first 3 decimals coincide. The cubic root of 1653172340 is about 1182.4225677745.

The spelling of 1653172340 in words is "one billion, six hundred fifty-three million, one hundred seventy-two thousand, three hundred forty".