1541664 has 72 divisors (see below), whose sum is σ = 4511052. Its totient is φ = 499200.

The previous prime is 1541663. The next prime is 1541671. The reversal of 1541664 is 4661451.

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 242064 = 1140^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1541663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15214 + ... + 15314.

2^1541664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255526).

1541664 is an abundant number, since it is smaller than the sum of its proper divisors (2969388).

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

1541664 is a wasteful number, since it uses less digits than its factorization.

1541664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1541664 is about 1241.6376282958. The cubic root of 1541664 is about 115.5216128667.

The spelling of 1541664 in words is "one million, five hundred forty-one thousand, six hundred sixty-four".