1948996560 has 360 divisors, whose sum is σ = 7284846240. Its totient is φ = 429671424.

The previous prime is 1948996537. The next prime is 1948996589. The reversal of 1948996560 is 656998491.

It is a self number, because there is not a number n which added to its sum of digits gives 1948996560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33033811 + ... + 33033869.

It is an arithmetic number, because the mean of its divisors is an integer number (20235684).

Almost surely, 2^1948996560 is an apocalyptic number.

1948996560 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 1948996560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642423120).

1948996560 is an abundant number, since it is smaller than the sum of its proper divisors (5335849680).

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

1948996560 is a wasteful number, since it uses less digits than its factorization.

1948996560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The square root of 1948996560 is about 44147.4411489500. The cubic root of 1948996560 is about 1249.1186448499.

The spelling of 1948996560 in words is "one billion, nine hundred forty-eight million, nine hundred ninety-six thousand, five hundred sixty".