191985552 has 180 divisors, whose sum is σ = 617054256. Its totient is φ = 57309120.

The previous prime is 191985551. The next prime is 191985559. The reversal of 191985552 is 255589191.

191985552 is a `hidden beast` number, since 1 + 9 + 1 + 98 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 191985498 and 191985507.

It is not an unprimeable number, because it can be changed into a prime (191985551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2865423 + ... + 2865489.

Almost surely, 2^191985552 is an apocalyptic number.

191985552 is a gapful number since it is divisible by the number (12) 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 191985552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308527128).

191985552 is an abundant number, since it is smaller than the sum of its proper divisors (425068704).

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

191985552 is an equidigital number, since it uses as much as digits as its factorization.

191985552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 83 counting only the distinct ones).

The product of its digits is 162000, while the sum is 45.

The square root of 191985552 is about 13855.8851034497. The cubic root of 191985552 is about 576.8853571893.

The spelling of 191985552 in words is "one hundred ninety-one million, nine hundred eighty-five thousand, five hundred fifty-two".