1077044544 has 168 divisors, whose sum is σ = 3209425128. Its totient is φ = 345047040.

The previous prime is 1077044533. The next prime is 1077044569. The reversal of 1077044544 is 4454407701.

It is a happy number.

1077044544 is a `hidden beast` number, since 1 + 0 + 7 + 70 + 44 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 233722944 + 843321600 = 15288^2 + 29040^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1077044499 and 1077044508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2067004 + ... + 2067524.

It is an arithmetic number, because the mean of its divisors is an integer number (19103721).

Almost surely, 2^1077044544 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 1077044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604712564).

1077044544 is an abundant number, since it is smaller than the sum of its proper divisors (2132380584).

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

1077044544 is a wasteful number, since it uses less digits than its factorization.

1077044544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 1077044544 is about 32818.3568144415. The cubic root of 1077044544 is about 1025.0488317803.

The spelling of 1077044544 in words is "one billion, seventy-seven million, forty-four thousand, five hundred forty-four".