1540672 has 56 divisors (see below), whose sum is σ = 3698240. Its totient is φ = 622080.

The previous prime is 1540661. The next prime is 1540673. The reversal of 1540672 is 2760451.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×1540672³ = 10971141696664633344, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1540673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8422 + ... + 8602.

It is an arithmetic number, because the mean of its divisors is an integer number (66040).

2^1540672 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 1540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849120).

1540672 is an abundant number, since it is smaller than the sum of its proper divisors (2157568).

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

1540672 is a wasteful number, since it uses less digits than its factorization.

1540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 1540672 is about 1241.2380915844. The cubic root of 1540672 is about 115.4968296825.

The spelling of 1540672 in words is "one million, five hundred forty thousand, six hundred seventy-two".