1077560 has 64 divisors (see below), whose sum is σ = 2764800. Its totient is φ = 374400.

The previous prime is 1077541. The next prime is 1077563. The reversal of 1077560 is 657701.

It is a super-2 number, since 2×1077560² = 2322271107200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13601 + ... + 13679.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

2^1077560 is an apocalyptic number.

1077560 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 1077560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382400).

1077560 is an abundant number, since it is smaller than the sum of its proper divisors (1687240).

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

1077560 is a wasteful number, since it uses less digits than its factorization.

1077560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 1077560 is about 1038.0558751821. The cubic root of 1077560 is about 102.5212329600.

It can be divided in two parts, 107 and 7560, that added together give a palindrome (7667).

The spelling of 1077560 in words is "one million, seventy-seven thousand, five hundred sixty".