1541988 has 72 divisors (see below), whose sum is σ = 4630080. Its totient is φ = 423360.

The previous prime is 1541987. The next prime is 1541999. The reversal of 1541988 is 8891451.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7203 + ... + 7413.

2^1541988 is an apocalyptic number.

1541988 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 1541988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315040).

1541988 is an abundant number, since it is smaller than the sum of its proper divisors (3088092).

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

1541988 is a wasteful number, since it uses less digits than its factorization.

1541988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1541988 is about 1241.7680942914. The cubic root of 1541988 is about 115.5297050711.

The spelling of 1541988 in words is "one million, five hundred forty-one thousand, nine hundred eighty-eight".