1506688 has 32 divisors (see below), whose sum is σ = 3060000. Its totient is φ = 738816.

The previous prime is 1506653. The next prime is 1506689. The reversal of 1506688 is 8866051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506689) 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 3 ways as a sum of consecutive naturals, for example, 10038 + ... + 10186.

It is an arithmetic number, because the mean of its divisors is an integer number (95625).

2^1506688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530000).

1506688 is an abundant number, since it is smaller than the sum of its proper divisors (1553312).

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

1506688 is an equidigital number, since it uses as much as digits as its factorization.

1506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 1506688 is about 1227.4721992778. The cubic root of 1506688 is about 114.6413020034.

The spelling of 1506688 in words is "one million, five hundred six thousand, six hundred eighty-eight".