1932768 has 48 divisors (see below), whose sum is σ = 5639760. Its totient is φ = 643968.

The previous prime is 1932761. The next prime is 1932797. The reversal of 1932768 is 8672391.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1932761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255 + ... + 1982.

It is an arithmetic number, because the mean of its divisors is an integer number (117495).

2^1932768 is an apocalyptic number.

1932768 is a gapful number since it is divisible by the number (18) 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 1932768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819880).

1932768 is an abundant number, since it is smaller than the sum of its proper divisors (3706992).

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

1932768 is a wasteful number, since it uses less digits than its factorization.

1932768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2242 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1932768 is about 1390.2402670042. The cubic root of 1932768 is about 124.5641997240.

The spelling of 1932768 in words is "one million, nine hundred thirty-two thousand, seven hundred sixty-eight".