1960008960 has 576 divisors, whose sum is σ = 7911751680. Its totient is φ = 402554880.

The previous prime is 1960008949. The next prime is 1960008983. The reversal of 1960008960 is 698000691.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24810201 + ... + 24810279.

It is an arithmetic number, because the mean of its divisors is an integer number (13735680).

Almost surely, 2^1960008960 is an apocalyptic number.

1960008960 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 1960008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955875840).

1960008960 is an abundant number, since it is smaller than the sum of its proper divisors (5951742720).

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

1960008960 is a wasteful number, since it uses less digits than its factorization.

1960008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1960008960 is about 44271.9884351268. The cubic root of 1960008960 is about 1251.4668561265.

The spelling of 1960008960 in words is "one billion, nine hundred sixty million, eight thousand, nine hundred sixty".