1027921920 has 96 divisors (see below), whose sum is σ = 3288645360. Its totient is φ = 274104320.

The previous prime is 1027921903. The next prime is 1027921927. The reversal of 1027921920 is 291297201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027921927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13990 + ... + 47450.

Almost surely, 2^1027921920 is an apocalyptic number.

1027921920 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 1027921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644322680).

1027921920 is an abundant number, since it is smaller than the sum of its proper divisors (2260723440).

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

1027921920 is an equidigital number, since it uses as much as digits as its factorization.

1027921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33491 (or 33471 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 1027921920 is about 32061.2214364955. The cubic root of 1027921920 is about 1009.2219999543.

The spelling of 1027921920 in words is "one billion, twenty-seven million, nine hundred twenty-one thousand, nine hundred twenty".