1977120 has 72 divisors (see below), whose sum is σ = 6751836. Its totient is φ = 526848.

The previous prime is 1977119. The next prime is 1977139. The reversal of 1977120 is 217791.

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 138384 = 1356^2 + 372^2 .

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

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, 754 + ... + 2126.

2^1977120 is an apocalyptic number.

1977120 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 1977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375918).

1977120 is an abundant number, since it is smaller than the sum of its proper divisors (4774716).

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

1977120 is a wasteful number, since it uses less digits than its factorization.

1977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1977120 is about 1406.1009921055. The cubic root of 1977120 is about 125.5098112465.

It can be divided in two parts, 19771 and 20, that added together give a palindrome (19791).

The spelling of 1977120 in words is "one million, nine hundred seventy-seven thousand, one hundred twenty".