1677672 has 48 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 558576.

The previous prime is 1677667. The next prime is 1677673. The reversal of 1677672 is 2767761.

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

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1677673) 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, 1513 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

2^1677672 is an apocalyptic number.

1677672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

1677672 is the 648-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1677672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1677672 is an abundant number, since it is smaller than the sum of its proper divisors (3039768).

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

1677672 is an equidigital number, since it uses as much as digits as its factorization.

1677672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 868 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 1677672 is about 1295.2497828604. The cubic root of 1677672 is about 118.8235031552.

The spelling of 1677672 in words is "one million, six hundred seventy-seven thousand, six hundred seventy-two".