1960848288 has 216 divisors, whose sum is σ = 6646725540. Its totient is φ = 546416640.

The previous prime is 1960848277. The next prime is 1960848299. The reversal of 1960848288 is 8828480691.

1960848288 is a `hidden beast` number, since 1 + 9 + 608 + 4 + 8 + 28 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1960848277) and next prime (1960848299).

It can be written as a sum of positive squares in 2 ways, for example, as 1959655824 + 1192464 = 44268^2 + 1092^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 576898 + ... + 580286.

Almost surely, 2^1960848288 is an apocalyptic number.

1960848288 is a gapful number since it is divisible by the number (18) 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 1960848288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323362770).

1960848288 is an abundant number, since it is smaller than the sum of its proper divisors (4685877252).

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

1960848288 is a wasteful number, since it uses less digits than its factorization.

1960848288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 1960848288 is about 44281.4666423776. The cubic root of 1960848288 is about 1251.6454677715.

It can be divided in two parts, 19608 and 48288, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 1960848288 in words is "one billion, nine hundred sixty million, eight hundred forty-eight thousand, two hundred eighty-eight".