190121664 has 56 divisors (see below), whose sum is σ = 504952000. Its totient is φ = 63131904.

The previous prime is 190121663. The next prime is 190121683. The reversal of 190121664 is 466121091.

It is a happy number.

It is a super-2 number, since 2×190121664² = 72292494244257792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190121663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52587 + ... + 56085.

It is an arithmetic number, because the mean of its divisors is an integer number (9017000).

Almost surely, 2^190121664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252476000).

190121664 is an abundant number, since it is smaller than the sum of its proper divisors (314830336).

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

190121664 is a wasteful number, since it uses less digits than its factorization.

190121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 190121664 is about 13788.4612629546. The cubic root of 190121664 is about 575.0123893991.

The spelling of 190121664 in words is "one hundred ninety million, one hundred twenty-one thousand, six hundred sixty-four".