1920106752 has 216 divisors, whose sum is σ = 5587331232. Its totient is φ = 584908800.

The previous prime is 1920106729. The next prime is 1920106757. The reversal of 1920106752 is 2576010291.

It is not an unprimeable number, because it can be changed into a prime (1920106757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9099927 + ... + 9100137.

Almost surely, 2^1920106752 is an apocalyptic number.

1920106752 is a gapful number since it is divisible by the number (12) 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 1920106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793665616).

1920106752 is an abundant number, since it is smaller than the sum of its proper divisors (3667224480).

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

1920106752 is a wasteful number, since it uses less digits than its factorization.

1920106752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 1920106752 is about 43819.0227184496. The cubic root of 1920106752 is about 1242.9160369050.

The spelling of 1920106752 in words is "one billion, nine hundred twenty million, one hundred six thousand, seven hundred fifty-two".