1688472 has 32 divisors (see below), whose sum is σ = 4690800. Its totient is φ = 562752.

The previous prime is 1688471. The next prime is 1688497. The reversal of 1688472 is 2748861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 1 + 6⁸ + 8² + 8⁴ + 4⁴ + 7³ + 2¹² .

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3693 + ... + 4124.

2^1688472 is an apocalyptic number.

1688472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1688472 is an abundant number, since it is smaller than the sum of its proper divisors (3002328).

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

1688472 is a wasteful number, since it uses less digits than its factorization.

1688472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7832 (or 7822 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1688472 is about 1299.4121747929. The cubic root of 1688472 is about 119.0779330853.

It can be divided in two parts, 16 and 88472, that added together give a palindrome (88488).

The spelling of 1688472 in words is "one million, six hundred eighty-eight thousand, four hundred seventy-two".