1948961064 has 32 divisors (see below), whose sum is σ = 4876492320. Its totient is φ = 649108416.

The previous prime is 1948961029. The next prime is 1948961087. The reversal of 1948961064 is 4601698491.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 4362 + ... + 62585.

It is an arithmetic number, because the mean of its divisors is an integer number (152390385).

Almost surely, 2^1948961064 is an apocalyptic number.

It is an amenable number.

1948961064 is an abundant number, since it is smaller than the sum of its proper divisors (2927531256).

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

1948961064 is a wasteful number, since it uses less digits than its factorization.

1948961064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68169 (or 68165 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 1948961064 is about 44147.0391306144. The cubic root of 1948961064 is about 1249.1110616341. Note that the first 3 decimals are identical.

The spelling of 1948961064 in words is "one billion, nine hundred forty-eight million, nine hundred sixty-one thousand, sixty-four".