1956380160 has 320 divisors, whose sum is σ = 7224966144. Its totient is φ = 442368000.

The previous prime is 1956380141. The next prime is 1956380177. The reversal of 1956380160 is 610836591.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8117640 + ... + 8117880.

Almost surely, 2^1956380160 is an apocalyptic number.

1956380160 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 1956380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612483072).

1956380160 is an abundant number, since it is smaller than the sum of its proper divisors (5268585984).

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

1956380160 is a wasteful number, since it uses less digits than its factorization.

1956380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1956380160 is about 44230.9864235470. The cubic root of 1956380160 is about 1250.6940486991.

The spelling of 1956380160 in words is "one billion, nine hundred fifty-six million, three hundred eighty thousand, one hundred sixty".