951968160 has 768 divisors, whose sum is σ = 4145541120. Its totient is φ = 200724480.

The previous prime is 951968141. The next prime is 951968167. The reversal of 951968160 is 61869159.

951968160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (951968167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14208447 + ... + 14208513.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2^951968160 is an apocalyptic number.

951968160 is a gapful number since it is divisible by the number (90) 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 951968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072770560).

951968160 is an abundant number, since it is smaller than the sum of its proper divisors (3193572960).

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

951968160 is a wasteful number, since it uses less digits than its factorization.

951968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 951968160 is about 30853.9812666048. The cubic root of 951968160 is about 983.7259796181.

The spelling of 951968160 in words is "nine hundred fifty-one million, nine hundred sixty-eight thousand, one hundred sixty".