1540540 has 48 divisors (see below), whose sum is σ = 3592512. Its totient is φ = 551936.

The previous prime is 1540499. The next prime is 1540541. The reversal of 1540540 is 450451.

1540540 = T₂₆ + T₂₇ + ... + T₂₀₉.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540541) by changing a digit.

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, 7722 + ... + 7918.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

2^1540540 is an apocalyptic number.

1540540 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 1540540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796256).

1540540 is an abundant number, since it is smaller than the sum of its proper divisors (2051972).

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

1540540 is a wasteful number, since it uses less digits than its factorization.

1540540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 1540540 is about 1241.1849177298. The cubic root of 1540540 is about 115.4935311182.

Adding to 1540540 its reverse (450451), we get a palindrome (1990991).

It can be divided in two parts, 1540 and 540, that added together give a triangular number (2080 = T₆₄).

The spelling of 1540540 in words is "one million, five hundred forty thousand, five hundred forty".