190968624 has 160 divisors (see below), whose sum is σ = 683527680. Its totient is φ = 49593600.

The previous prime is 190968623. The next prime is 190968637. The reversal of 190968624 is 426869091.

It is a happy number.

190968624 is a `hidden beast` number, since 19 + 0 + 9 + 6 + 8 + 624 = 666.

190968624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 190968624.

It is not an unprimeable number, because it can be changed into a prime (190968623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30394 + ... + 36134.

It is an arithmetic number, because the mean of its divisors is an integer number (4272048).

Almost surely, 2^190968624 is an apocalyptic number.

190968624 is a gapful number since it is divisible by the number (14) 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 190968624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341763840).

190968624 is an abundant number, since it is smaller than the sum of its proper divisors (492559056).

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

190968624 is a wasteful number, since it uses less digits than its factorization.

190968624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 190968624 is about 13819.1397706225. The cubic root of 190968624 is about 575.8649857163.

The spelling of 190968624 in words is "one hundred ninety million, nine hundred sixty-eight thousand, six hundred twenty-four".