1913987964 has 96 divisors (see below), whose sum is σ = 5449973760. Its totient is φ = 510890688.

The previous prime is 1913987927. The next prime is 1913987969. The reversal of 1913987964 is 4697893191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913987969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71557 + ... + 94595.

It is an arithmetic number, because the mean of its divisors is an integer number (56770560).

Almost surely, 2^1913987964 is an apocalyptic number.

1913987964 is a gapful number since it is divisible by the number (14) 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 1913987964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724986880).

1913987964 is an abundant number, since it is smaller than the sum of its proper divisors (3535985796).

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

1913987964 is a wasteful number, since it uses less digits than its factorization.

1913987964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23119 (or 23117 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 57.

The square root of 1913987964 is about 43749.1481517069. The cubic root of 1913987964 is about 1241.5943686405.

The spelling of 1913987964 in words is "one billion, nine hundred thirteen million, nine hundred eighty-seven thousand, nine hundred sixty-four".