1640041 has 16 divisors (see below), whose sum is σ = 1926288. Its totient is φ = 1382400.

The previous prime is 1640033. The next prime is 1640053. The reversal of 1640041 is 1400461.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 632025 + 1008016 = 795^2 + 1004^2 .

It is a 4-Lehmer number, since φ(1640041) divides (1640041-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 1640041 - 2³ = 1640033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1639997 and 1640024.

It is not an unprimeable number, because it can be changed into a prime (1640021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8971 + ... + 9151.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

2^1640041 is an apocalyptic number.

It is an amenable number.

1640041 is a deficient number, since it is larger than the sum of its proper divisors (286247).

1640041 is a wasteful number, since it uses less digits than its factorization.

1640041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1640041 is about 1280.6408551971. The cubic root of 1640041 is about 117.9283535193.

It can be divided in two parts, 16400 and 41, that multiplied together give a square (672400 = 820²).

The spelling of 1640041 in words is "one million, six hundred forty thousand, forty-one".