1914031968 has 96 divisors (see below), whose sum is σ = 5140358496. Its totient is φ = 623443968.

The previous prime is 1914031967. The next prime is 1914031979. The reversal of 1914031968 is 8691304191.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914031967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790696 + ... + 793112.

It is an arithmetic number, because the mean of its divisors is an integer number (53545401).

Almost surely, 2^1914031968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1914031968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570179248).

1914031968 is an abundant number, since it is smaller than the sum of its proper divisors (3226326528).

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

1914031968 is a wasteful number, since it uses less digits than its factorization.

1914031968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1914031968 is about 43749.6510614656. The cubic root of 1914031968 is about 1241.6038836254.

The spelling of 1914031968 in words is "one billion, nine hundred fourteen million, thirty-one thousand, nine hundred sixty-eight".