1627968 has 56 divisors (see below), whose sum is σ = 4409440. Its totient is φ = 529920.

The previous prime is 1627943. The next prime is 1627979. The reversal of 1627968 is 8697261.

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, 11643 + ... + 11781.

It is an arithmetic number, because the mean of its divisors is an integer number (78740).

2^1627968 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 1627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204720).

1627968 is an abundant number, since it is smaller than the sum of its proper divisors (2781472).

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

1627968 is a wasteful number, since it uses less digits than its factorization.

1627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

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

The square root of 1627968 is about 1275.9184926946. The cubic root of 1627968 is about 117.6382678922.

The spelling of 1627968 in words is "one million, six hundred twenty-seven thousand, nine hundred sixty-eight".