1687296 has 72 divisors (see below), whose sum is σ = 4864720. Its totient is φ = 519168.

The previous prime is 1687289. The next prime is 1687297. The reversal of 1687296 is 6927861.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

Its product of digits (36288) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687297) 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, 129786 + ... + 129798.

2^1687296 is an apocalyptic number.

1687296 is a gapful number since it is divisible by the number (16) 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 1687296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432360).

1687296 is an abundant number, since it is smaller than the sum of its proper divisors (3177424).

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

1687296 is an frugal number, since it uses more digits than its factorization.

1687296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 18 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 1687296 is about 1298.9595836669. The cubic root of 1687296 is about 119.0502812255.

Multiplying 1687296 by its sum of digits (39), we get a square (65804544 = 8112²).

1687296 divided by its sum of digits (39) gives a square (43264 = 208²).

The spelling of 1687296 in words is "one million, six hundred eighty-seven thousand, two hundred ninety-six".