1541280 has 144 divisors (see below), whose sum is σ = 5533920. Its totient is φ = 359424.

The previous prime is 1541279. The next prime is 1541291. The reversal of 1541280 is 821451.

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, 81111 + ... + 81129.

It is an arithmetic number, because the mean of its divisors is an integer number (38430).

2^1541280 is an apocalyptic number.

1541280 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 1541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766960).

1541280 is an abundant number, since it is smaller than the sum of its proper divisors (3992640).

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

1541280 is a wasteful number, since it uses less digits than its factorization.

1541280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1541280 is about 1241.4829841766. The cubic root of 1541280 is about 115.5120206376.

The spelling of 1541280 in words is "one million, five hundred forty-one thousand, two hundred eighty".