1916917920 has 96 divisors (see below), whose sum is σ = 6709227840. Its totient is φ = 511176960.

The previous prime is 1916917907. The next prime is 1916917921. The reversal of 1916917920 is 297196191.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1916917921) 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, 217546 + ... + 226185.

It is an arithmetic number, because the mean of its divisors is an integer number (69887790).

Almost surely, 2^1916917920 is an apocalyptic number.

1916917920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1916917920 is an abundant number, since it is smaller than the sum of its proper divisors (4792309920).

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

1916917920 is a wasteful number, since it uses less digits than its factorization.

1916917920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443755 (or 443741 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

The square root of 1916917920 is about 43782.6212097905. The cubic root of 1916917920 is about 1242.2275948753.

The spelling of 1916917920 in words is "one billion, nine hundred sixteen million, nine hundred seventeen thousand, nine hundred twenty".