1535840 has 48 divisors (see below), whose sum is σ = 3764880. Its totient is φ = 591360.

The previous prime is 1535837. The next prime is 1535843. The reversal of 1535840 is 485351.

It is an interprime number because it is at equal distance from previous prime (1535837) and next prime (1535843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1535843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4475 + ... + 4805.

It is an arithmetic number, because the mean of its divisors is an integer number (78435).

2^1535840 is an apocalyptic number.

1535840 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 1535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882440).

1535840 is an abundant number, since it is smaller than the sum of its proper divisors (2229040).

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

1535840 is a wasteful number, since it uses less digits than its factorization.

1535840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1535840 is about 1239.2901193829. The cubic root of 1535840 is about 115.3759592367.

The spelling of 1535840 in words is "one million, five hundred thirty-five thousand, eight hundred forty".