1653940 has 24 divisors (see below), whose sum is σ = 3559752. Its totient is φ = 645120.

The previous prime is 1653929. The next prime is 1653959. The reversal of 1653940 is 493561.

It can be written as a sum of positive squares in 4 ways, for example, as 86436 + 1567504 = 294^2 + 1252^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1653899 and 1653908.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 189 + ... + 1828.

It is an arithmetic number, because the mean of its divisors is an integer number (148323).

2^1653940 is an apocalyptic number.

1653940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1653940 is an abundant number, since it is smaller than the sum of its proper divisors (1905812).

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

1653940 is a wasteful number, since it uses less digits than its factorization.

1653940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1653940 is about 1286.0559863396. The cubic root of 1653940 is about 118.2605561006.

It can be divided in two parts, 16 and 53940, that added together give a triangular number (53956 = T₃₂₈).

The spelling of 1653940 in words is "one million, six hundred fifty-three thousand, nine hundred forty".