119251968 has 88 divisors (see below), whose sum is σ = 346843680. Its totient is φ = 36126720.

The previous prime is 119251949. The next prime is 119251969. The reversal of 119251968 is 869152911.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-3 number, since 3×119251968³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119251969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32028 + ... + 35556.

Almost surely, 2^119251968 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 119251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173421840).

119251968 is an abundant number, since it is smaller than the sum of its proper divisors (227591712).

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

119251968 is a wasteful number, since it uses less digits than its factorization.

119251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3545 counting only the distinct ones).

The product of its digits is 38880, while the sum is 42.

The square root of 119251968 is about 10920.2549420790. The cubic root of 119251968 is about 492.2153858990.

The spelling of 119251968 in words is "one hundred nineteen million, two hundred fifty-one thousand, nine hundred sixty-eight".