1540944 has 100 divisors (see below), whose sum is σ = 4726260. Its totient is φ = 483840.

The previous prime is 1540927. The next prime is 1540949. The reversal of 1540944 is 4490451.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 1166400 = 612^2 + 1080^2 .

It is a super-2 number, since 2×1540944² = 4749016822272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540949) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37564 + ... + 37604.

2^1540944 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 1540944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363130).

1540944 is an abundant number, since it is smaller than the sum of its proper divisors (3185316).

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

1540944 is a wasteful number, since it uses less digits than its factorization.

1540944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

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

The square root of 1540944 is about 1241.3476547688. The cubic root of 1540944 is about 115.5036261300.

The spelling of 1540944 in words is "one million, five hundred forty thousand, nine hundred forty-four".