1535520 has 96 divisors (see below), whose sum is σ = 5539968. Its totient is φ = 350208.

The previous prime is 1535507. The next prime is 1535531. The reversal of 1535520 is 255351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3132 + ... + 3588.

It is an arithmetic number, because the mean of its divisors is an integer number (57708).

2^1535520 is an apocalyptic number.

1535520 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 1535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769984).

1535520 is an abundant number, since it is smaller than the sum of its proper divisors (4004448).

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

1535520 is a wasteful number, since it uses less digits than its factorization.

1535520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 1535520 is about 1239.1610064879. The cubic root of 1535520 is about 115.3679456260.

The spelling of 1535520 in words is "one million, five hundred thirty-five thousand, five hundred twenty".