1557120 has 64 divisors (see below), whose sum is σ = 4969440. Its totient is φ = 414720.

The previous prime is 1557119. The next prime is 1557131. The reversal of 1557120 is 217551.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515 + ... + 2325.

2^1557120 is an apocalyptic number.

1557120 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 1557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484720).

1557120 is an abundant number, since it is smaller than the sum of its proper divisors (3412320).

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

1557120 is an equidigital number, since it uses as much as digits as its factorization.

1557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 1557120 is about 1247.8461443624. The cubic root of 1557120 is about 115.9063850335.

The spelling of 1557120 in words is "one million, five hundred fifty-seven thousand, one hundred twenty".