190759968 has 96 divisors (see below), whose sum is σ = 635886720. Its totient is φ = 54501120.

The previous prime is 190759963. The next prime is 190760021. The reversal of 190759968 is 869957091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×190759968² = 72778730782722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (190759963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9723 + ... + 21818.

It is an arithmetic number, because the mean of its divisors is an integer number (6623820).

Almost surely, 2^190759968 is an apocalyptic number.

190759968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

190759968 is an abundant number, since it is smaller than the sum of its proper divisors (445126752).

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

190759968 is a wasteful number, since it uses less digits than its factorization.

190759968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31567 (or 31553 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 190759968 is about 13811.5881780482. The cubic root of 190759968 is about 575.6551755553.

The spelling of 190759968 in words is "one hundred ninety million, seven hundred fifty-nine thousand, nine hundred sixty-eight".