1505680 has 80 divisors (see below), whose sum is σ = 4017600. Its totient is φ = 519680.

The previous prime is 1505659. The next prime is 1505681. The reversal of 1505680 is 865051.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1505681) 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 15 ways as a sum of consecutive naturals, for example, 25491 + ... + 25549.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2^1505680 is an apocalyptic number.

1505680 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 1505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008800).

1505680 is an abundant number, since it is smaller than the sum of its proper divisors (2511920).

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

1505680 is a wasteful number, since it uses less digits than its factorization.

1505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1505680 is about 1227.0615306495. The cubic root of 1505680 is about 114.6157306371.

The spelling of 1505680 in words is "one million, five hundred five thousand, six hundred eighty".