1027977984 has 216 divisors, whose sum is σ = 3305981952. Its totient is φ = 304527360.

The previous prime is 1027977971. The next prime is 1027977989. The reversal of 1027977984 is 4897797201.

It is a self number, because there is not a number n which added to its sum of digits gives 1027977984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027977989) 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 23 ways as a sum of consecutive naturals, for example, 1190737 + ... + 1191599.

It is an arithmetic number, because the mean of its divisors is an integer number (15305472).

Almost surely, 2^1027977984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652990976).

1027977984 is an abundant number, since it is smaller than the sum of its proper divisors (2278003968).

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

1027977984 is a wasteful number, since it uses less digits than its factorization.

1027977984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The square root of 1027977984 is about 32062.0957518376. The cubic root of 1027977984 is about 1009.2403476493.

The spelling of 1027977984 in words is "one billion, twenty-seven million, nine hundred seventy-seven thousand, nine hundred eighty-four".