1541628 has 72 divisors (see below), whose sum is σ = 4520880. Its totient is φ = 437760.

The previous prime is 1541597. The next prime is 1541629. The reversal of 1541628 is 8261451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6618 + ... + 6846.

It is an arithmetic number, because the mean of its divisors is an integer number (62790).

2^1541628 is an apocalyptic number.

1541628 is a gapful number since it is divisible by the number (18) 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 1541628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260440).

1541628 is an abundant number, since it is smaller than the sum of its proper divisors (2979252).

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

1541628 is a wasteful number, since it uses less digits than its factorization.

1541628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 262 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1541628 is about 1241.6231312278. The cubic root of 1541628 is about 115.5207136629.

The spelling of 1541628 in words is "one million, five hundred forty-one thousand, six hundred twenty-eight".