1675968 has 112 divisors (see below), whose sum is σ = 5364480. Its totient is φ = 451584.

The previous prime is 1675967. The next prime is 1675981. The reversal of 1675968 is 8695761.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (90720) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (1675963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38955 + ... + 38997.

2^1675968 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 1675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682240).

1675968 is an abundant number, since it is smaller than the sum of its proper divisors (3688512).

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

1675968 is a wasteful number, since it uses less digits than its factorization.

1675968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 1675968 is about 1294.5918275657. The cubic root of 1675968 is about 118.7832601202.

The spelling of 1675968 in words is "one million, six hundred seventy-five thousand, nine hundred sixty-eight".