1683672 has 48 divisors (see below), whose sum is σ = 4408920. Its totient is φ = 535680.

The previous prime is 1683667. The next prime is 1683673. The reversal of 1683672 is 2763861.

Its product of digits (12096) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23028 + ... + 23100.

2^1683672 is an apocalyptic number.

1683672 is a gapful number since it is divisible by the number (12) 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 1683672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204460).

1683672 is an abundant number, since it is smaller than the sum of its proper divisors (2725248).

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

1683672 is a wasteful number, since it uses less digits than its factorization.

1683672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 1683672 is about 1297.5638712603. The cubic root of 1683672 is about 118.9649874633.

The spelling of 1683672 in words is "one million, six hundred eighty-three thousand, six hundred seventy-two".