1541160 has 64 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 410688.

The previous prime is 1541143. The next prime is 1541171. The reversal of 1541160 is 611451.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367 + ... + 1793.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

2^1541160 is an apocalyptic number.

1541160 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 1541160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

1541160 is an abundant number, since it is smaller than the sum of its proper divisors (3599640).

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

1541160 is a wasteful number, since it uses less digits than its factorization.

1541160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1541160 is about 1241.4346539387. The cubic root of 1541160 is about 115.5090227392.

The spelling of 1541160 in words is "one million, five hundred forty-one thousand, one hundred sixty".