1923780096 has 480 divisors, whose sum is σ = 6928247040. Its totient is φ = 501645312.

The previous prime is 1923780091. The next prime is 1923780101. The reversal of 1923780096 is 6900873291.

1923780096 is a `hidden beast` number, since 192 + 378 + 0 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1923780091) and next prime (1923780101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1923780091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26353116 + ... + 26353188.

It is an arithmetic number, because the mean of its divisors is an integer number (14433848).

Almost surely, 2^1923780096 is an apocalyptic number.

1923780096 is a gapful number since it is divisible by the number (16) 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 1923780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464123520).

1923780096 is an abundant number, since it is smaller than the sum of its proper divisors (5004466944).

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

1923780096 is a wasteful number, since it uses less digits than its factorization.

1923780096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1923780096 is about 43860.9176374594. The cubic root of 1923780096 is about 1243.7081369174.

The spelling of 1923780096 in words is "one billion, nine hundred twenty-three million, seven hundred eighty thousand, ninety-six".