1956040 has 32 divisors (see below), whose sum is σ = 4464000. Its totient is φ = 771264.

The previous prime is 1956029. The next prime is 1956047. The reversal of 1956040 is 406591.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 1955996 and 1956014.

It is not an unprimeable number, because it can be changed into a prime (1956047) 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 7 ways as a sum of consecutive naturals, for example, 2851 + ... + 3469.

It is an arithmetic number, because the mean of its divisors is an integer number (139500).

2^1956040 is an apocalyptic number.

1956040 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 1956040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

1956040 is an abundant number, since it is smaller than the sum of its proper divisors (2507960).

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

1956040 is a wasteful number, since it uses less digits than its factorization.

1956040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1956040 is about 1398.5849992046. The cubic root of 1956040 is about 125.0621557548.

It can be divided in two parts, 19560 and 40, that added together give a square (19600 = 140²).

The spelling of 1956040 in words is "one million, nine hundred fifty-six thousand, forty".