191979648 has 288 divisors, whose sum is σ = 680238000. Its totient is φ = 51674112.

The previous prime is 191979611. The next prime is 191979661. The reversal of 191979648 is 846979191.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 191979594 and 191979603.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1072423 + ... + 1072601.

Almost surely, 2^191979648 is an apocalyptic number.

191979648 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 191979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340119000).

191979648 is an abundant number, since it is smaller than the sum of its proper divisors (488258352).

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

191979648 is a wasteful number, since it uses less digits than its factorization.

191979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 191979648 is about 13855.6720515463. The cubic root of 191979648 is about 576.8794436088.

The spelling of 191979648 in words is "one hundred ninety-one million, nine hundred seventy-nine thousand, six hundred forty-eight".