119632968 has 288 divisors, whose sum is σ = 433742400. Its totient is φ = 28926720.

The previous prime is 119632897. The next prime is 119632969. The reversal of 119632968 is 869236911.

It is a happy number.

119632968 is a `hidden beast` number, since 1 + 1 + 9 + 632 + 9 + 6 + 8 = 666.

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119632969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3859113 + ... + 3859143.

It is an arithmetic number, because the mean of its divisors is an integer number (1506050).

Almost surely, 2^119632968 is an apocalyptic number.

119632968 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 119632968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216871200).

119632968 is an abundant number, since it is smaller than the sum of its proper divisors (314109432).

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

119632968 is a wasteful number, since it uses less digits than its factorization.

119632968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

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

The square root of 119632968 is about 10937.6856784239. The cubic root of 119632968 is about 492.7390242098.

The spelling of 119632968 in words is "one hundred nineteen million, six hundred thirty-two thousand, nine hundred sixty-eight".