1920342816 has 240 divisors, whose sum is σ = 6520409280. Its totient is φ = 543075840.

The previous prime is 1920342737. The next prime is 1920342821. The reversal of 1920342816 is 6182430291.

1920342816 is a `hidden beast` number, since 19 + 203 + 428 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1977211 + ... + 1978181.

It is an arithmetic number, because the mean of its divisors is an integer number (27168372).

Almost surely, 2^1920342816 is an apocalyptic number.

1920342816 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 1920342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260204640).

1920342816 is an abundant number, since it is smaller than the sum of its proper divisors (4600066464).

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

1920342816 is a wasteful number, since it uses less digits than its factorization.

1920342816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1920342816 is about 43821.7162603201. The cubic root of 1920342816 is about 1242.9669708279.

The spelling of 1920342816 in words is "one billion, nine hundred twenty million, three hundred forty-two thousand, eight hundred sixteen".