190217664 has 336 divisors, whose sum is σ = 710062080. Its totient is φ = 47278080.

The previous prime is 190217647. The next prime is 190217669. The reversal of 190217664 is 466712091.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190217669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995809 + ... + 995999.

It is an arithmetic number, because the mean of its divisors is an integer number (2113280).

Almost surely, 2^190217664 is an apocalyptic number.

190217664 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 190217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355031040).

190217664 is an abundant number, since it is smaller than the sum of its proper divisors (519844416).

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

190217664 is a wasteful number, since it uses less digits than its factorization.

190217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

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

The square root of 190217664 is about 13791.9419952377. The cubic root of 190217664 is about 575.1091553326.

The spelling of 190217664 in words is "one hundred ninety million, two hundred seventeen thousand, six hundred sixty-four".