1521688 has 32 divisors (see below), whose sum is σ = 3376800. Its totient is φ = 628992.

The previous prime is 1521677. The next prime is 1521731. The reversal of 1521688 is 8861251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1156 + ... + 2092.

It is an arithmetic number, because the mean of its divisors is an integer number (105525).

2^1521688 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 1521688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688400).

1521688 is an abundant number, since it is smaller than the sum of its proper divisors (1855112).

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

1521688 is a wasteful number, since it uses less digits than its factorization.

1521688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 975 counting only the distinct ones).

The product of its digits is 3840, while the sum is 31.

The square root of 1521688 is about 1233.5671850370. The cubic root of 1521688 is about 115.0204878432.

It can be divided in two parts, 1521 and 688, that added together give a square (2209 = 47²).

The spelling of 1521688 in words is "one million, five hundred twenty-one thousand, six hundred eighty-eight".