1535604 has 48 divisors (see below), whose sum is σ = 4158336. Its totient is φ = 432000.

The previous prime is 1535603. The next prime is 1535609. The reversal of 1535604 is 4065351.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1535603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8394 + ... + 8574.

It is an arithmetic number, because the mean of its divisors is an integer number (86632).

2^1535604 is an apocalyptic number.

1535604 is a gapful number since it is divisible by the number (14) 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 1535604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079168).

1535604 is an abundant number, since it is smaller than the sum of its proper divisors (2622732).

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

1535604 is a wasteful number, since it uses less digits than its factorization.

1535604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1535604 is about 1239.1948999249. The cubic root of 1535604 is about 115.3700493066.

Adding to 1535604 its sum of digits (24), we get a triangular number (1535628 = T₁₇₅₂).

The spelling of 1535604 in words is "one million, five hundred thirty-five thousand, six hundred four".