1553940 has 72 divisors (see below), whose sum is σ = 4815720. Its totient is φ = 405504.

The previous prime is 1553927. The next prime is 1553947. The reversal of 1553940 is 493551.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 1527696 = 162^2 + 1236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553947) 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, 15972 + ... + 16068.

It is an arithmetic number, because the mean of its divisors is an integer number (66885).

2^1553940 is an apocalyptic number.

1553940 is a gapful number since it is divisible by the number (10) 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 1553940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407860).

1553940 is an abundant number, since it is smaller than the sum of its proper divisors (3261780).

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

1553940 is a wasteful number, since it uses less digits than its factorization.

1553940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1553940 is about 1246.5712975999. The cubic root of 1553940 is about 115.8274286911.

It can be divided in two parts, 155 and 3940, that added together give a triangular number (4095 = T₉₀).

The spelling of 1553940 in words is "one million, five hundred fifty-three thousand, nine hundred forty".