1920746880 has 384 divisors, whose sum is σ = 7237732320. Its totient is φ = 466550784.

The previous prime is 1920746869. The next prime is 1920746881. The reversal of 1920746880 is 886470291.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920746881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8461327 + ... + 8461553.

Almost surely, 2^1920746880 is an apocalyptic number.

1920746880 is a gapful number since it is divisible by the number (10) 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 1920746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618866160).

1920746880 is an abundant number, since it is smaller than the sum of its proper divisors (5316985440).

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

1920746880 is a wasteful number, since it uses less digits than its factorization.

1920746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1920746880 is about 43826.3263347500. The cubic root of 1920746880 is about 1243.0541432814.

The spelling of 1920746880 in words is "one billion, nine hundred twenty million, seven hundred forty-six thousand, eight hundred eighty".