1077984 has 72 divisors (see below), whose sum is σ = 3243240. Its totient is φ = 338688.

The previous prime is 1077977. The next prime is 1077997. The reversal of 1077984 is 4897701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5374 + ... + 5570.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2^1077984 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 1077984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621620).

1077984 is an abundant number, since it is smaller than the sum of its proper divisors (2165256).

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

1077984 is a wasteful number, since it uses less digits than its factorization.

1077984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1077984 is about 1038.2600830235. The cubic root of 1077984 is about 102.5346779352.

The spelling of 1077984 in words is "one million, seventy-seven thousand, nine hundred eighty-four".