1077544 has 24 divisors (see below), whose sum is σ = 2190510. Its totient is φ = 496704.

The previous prime is 1077541. The next prime is 1077563. The reversal of 1077544 is 4457701.

It can be written as a sum of positive squares in 3 ways, for example, as 532900 + 544644 = 730^2 + 738^2 .

It is a super-2 number, since 2×1077544² = 2322202143872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 954 + ... + 1750.

2^1077544 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 1077544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095255).

1077544 is an abundant number, since it is smaller than the sum of its proper divisors (1112966).

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

1077544 is a wasteful number, since it uses less digits than its factorization.

1077544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 1077544 is about 1038.0481684392. The cubic root of 1077544 is about 102.5207255334.

The spelling of 1077544 in words is "one million, seventy-seven thousand, five hundred forty-four".