949968 has 50 divisors (see below), whose sum is σ = 2753234. Its totient is φ = 316224.

The previous prime is 949967. The next prime is 949973. The reversal of 949968 is 869949.

It can be written as a sum of positive squares in only one way, i.e., 944784 + 5184 = 972^2 + 72^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 949968.

It is not an unprimeable number, because it can be changed into a prime (949961) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 930 + ... + 1662.

2⁹⁴⁹⁹⁶⁸ 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 949968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376617).

949968 is an abundant number, since it is smaller than the sum of its proper divisors (1803266).

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

949968 is a wasteful number, since it uses less digits than its factorization.

949968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 738 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 949968 is about 974.6630186890. The cubic root of 949968 is about 98.3036534640.

Adding to 949968 its product of digits (139968), we get a square (1089936 = 1044²).

Subtracting from 949968 its product of digits (139968), we obtain a 4-th power (810000 = 30⁴).

The spelling of 949968 in words is "nine hundred forty-nine thousand, nine hundred sixty-eight".