1956845340 has 72 divisors (see below), whose sum is σ = 6248183760. Its totient is φ = 494360064.

The previous prime is 1956845287. The next prime is 1956845347. The reversal of 1956845340 is 435486591.

1956845340 is a `hidden beast` number, since 1 + 9 + 568 + 45 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1956845347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282669 + ... + 289508.

It is an arithmetic number, because the mean of its divisors is an integer number (86780330).

Almost surely, 2^1956845340 is an apocalyptic number.

1956845340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1956845340 is an abundant number, since it is smaller than the sum of its proper divisors (4291338420).

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

1956845340 is a wasteful number, since it uses less digits than its factorization.

1956845340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572211 (or 572206 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1956845340 is about 44236.2446416962. The cubic root of 1956845340 is about 1250.7931691331.

The spelling of 1956845340 in words is "one billion, nine hundred fifty-six million, eight hundred forty-five thousand, three hundred forty".