1950768 has 120 divisors (see below), whose sum is σ = 6190080. Its totient is φ = 570240.

The previous prime is 1950763. The next prime is 1950803. The reversal of 1950768 is 8670591.

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

It is not an unprimeable number, because it can be changed into a prime (1950761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62913 + ... + 62943.

It is an arithmetic number, because the mean of its divisors is an integer number (51584).

2^1950768 is an apocalyptic number.

1950768 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 1950768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095040).

1950768 is an abundant number, since it is smaller than the sum of its proper divisors (4239312).

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

1950768 is a wasteful number, since it uses less digits than its factorization.

1950768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1950768 is about 1396.6989654181. The cubic root of 1950768 is about 124.9496970930.

The spelling of 1950768 in words is "one million, nine hundred fifty thousand, seven hundred sixty-eight".