1920188256 has 192 divisors, whose sum is σ = 5914621440. Its totient is φ = 534159360.

The previous prime is 1920188239. The next prime is 1920188273. The reversal of 1920188256 is 6528810291.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1920188239) and next prime (1920188273).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5697720 + ... + 5698056.

It is an arithmetic number, because the mean of its divisors is an integer number (30805320).

Almost surely, 2^1920188256 is an apocalyptic number.

1920188256 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 1920188256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957310720).

1920188256 is an abundant number, since it is smaller than the sum of its proper divisors (3994433184).

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

1920188256 is a wasteful number, since it uses less digits than its factorization.

1920188256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 1920188256 is about 43819.9527156294. The cubic root of 1920188256 is about 1242.9336229403.

The spelling of 1920188256 in words is "one billion, nine hundred twenty million, one hundred eighty-eight thousand, two hundred fifty-six".