1995381960 has 384 divisors, whose sum is σ = 7326910080. Its totient is φ = 432115200.

The previous prime is 1995381959. The next prime is 1995381961. The reversal of 1995381960 is 691835991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1995381959) and next prime (1995381961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995381961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64367145 + ... + 64367175.

It is an arithmetic number, because the mean of its divisors is an integer number (19080495).

Almost surely, 2^1995381960 is an apocalyptic number.

1995381960 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 1995381960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663455040).

1995381960 is an abundant number, since it is smaller than the sum of its proper divisors (5331528120).

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

1995381960 is a wasteful number, since it uses less digits than its factorization.

1995381960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The square root of 1995381960 is about 44669.6984543214. The cubic root of 1995381960 is about 1258.9505749282.

The spelling of 1995381960 in words is "one billion, nine hundred ninety-five million, three hundred eighty-one thousand, nine hundred sixty".