1653344040 has 64 divisors (see below), whose sum is σ = 4963694400. Its totient is φ = 440566272.

The previous prime is 1653344009. The next prime is 1653344053. The reversal of 1653344040 is 404433561.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1653343989 and 1653344007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188799 + ... + 197361.

It is an arithmetic number, because the mean of its divisors is an integer number (77557725).

Almost surely, 2^1653344040 is an apocalyptic number.

1653344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1653344040 is an abundant number, since it is smaller than the sum of its proper divisors (3310350360).

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

1653344040 is a wasteful number, since it uses less digits than its factorization.

1653344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186 (or 10182 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 1653344040 is about 40661.3334754285. Note that the first 3 decimals coincide. The cubic root of 1653344040 is about 1182.4635021893.

The spelling of 1653344040 in words is "one billion, six hundred fifty-three million, three hundred forty-four thousand, forty".