190320768 has 192 divisors, whose sum is σ = 624386880. Its totient is φ = 55080960.

The previous prime is 190320761. The next prime is 190320769. The reversal of 190320768 is 867023091.

It is a tau number, because it is divible by the number of its divisors (192).

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 (190320761) 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, 291130 + ... + 291782.

It is an arithmetic number, because the mean of its divisors is an integer number (3252015).

Almost surely, 2^190320768 is an apocalyptic number.

190320768 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 190320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312193440).

190320768 is an abundant number, since it is smaller than the sum of its proper divisors (434066112).

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

190320768 is a wasteful number, since it uses less digits than its factorization.

190320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 190320768 is about 13795.6793236143. The cubic root of 190320768 is about 575.2130456915.

The spelling of 190320768 in words is "one hundred ninety million, three hundred twenty thousand, seven hundred sixty-eight".