1533840 has 160 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 314880.

The previous prime is 1533817. The next prime is 1533841. The reversal of 1533840 is 483351.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1533840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1533841) 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 31 ways as a sum of consecutive naturals, for example, 18439 + ... + 18521.

2^1533840 is an apocalyptic number.

1533840 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 1533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

1533840 is an abundant number, since it is smaller than the sum of its proper divisors (4465776).

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

1533840 is a wasteful number, since it uses less digits than its factorization.

1533840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1533840 is about 1238.4829429588. The cubic root of 1533840 is about 115.3258558938.

It can be divided in two parts, 153 and 3840, that added together give a palindrome (3993).

The spelling of 1533840 in words is "one million, five hundred thirty-three thousand, eight hundred forty".