1956788160 has 112 divisors (see below), whose sum is σ = 6221577600. Its totient is φ = 521073664.

The previous prime is 1956788149. The next prime is 1956788167. The reversal of 1956788160 is 618876591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1956788167) 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, 1207831 + ... + 1209449.

It is an arithmetic number, because the mean of its divisors is an integer number (55549800).

Almost surely, 2^1956788160 is an apocalyptic number.

1956788160 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 1956788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110788800).

1956788160 is an abundant number, since it is smaller than the sum of its proper divisors (4264789440).

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

1956788160 is a wasteful number, since it uses less digits than its factorization.

1956788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 1956788160 is about 44235.5983343732. The cubic root of 1956788160 is about 1250.7809860803.

The spelling of 1956788160 in words is "one billion, nine hundred fifty-six million, seven hundred eighty-eight thousand, one hundred sixty".