1927968 has 96 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 518400.

The previous prime is 1927967. The next prime is 1927969. The reversal of 1927968 is 8697291.

It is an interprime number because it is at equal distance from previous prime (1927967) and next prime (1927969).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1927963) 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, 12693 + ... + 12843.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

2^1927968 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 1927968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

1927968 is an abundant number, since it is smaller than the sum of its proper divisors (4200672).

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

1927968 is a wasteful number, since it uses less digits than its factorization.

1927968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 1927968 is about 1388.5128735449. The cubic root of 1927968 is about 124.4609964756.

The spelling of 1927968 in words is "one million, nine hundred twenty-seven thousand, nine hundred sixty-eight".