190880640 has 192 divisors, whose sum is σ = 681033600. Its totient is φ = 49213440.

The previous prime is 190880633. The next prime is 190880647. The reversal of 190880640 is 46088091.

It is a happy number.

190880640 is a `hidden beast` number, since 1 + 9 + 0 + 8 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (190880633) and next prime (190880647).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 190880595 and 190880604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190880647) 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 23 ways as a sum of consecutive naturals, for example, 178026 + ... + 179094.

It is an arithmetic number, because the mean of its divisors is an integer number (3547050).

Almost surely, 2^190880640 is an apocalyptic number.

190880640 is a gapful number since it is divisible by the number (10) 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 190880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340516800).

190880640 is an abundant number, since it is smaller than the sum of its proper divisors (490152960).

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

190880640 is a wasteful number, since it uses less digits than its factorization.

190880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 190880640 is about 13815.9559929814. The cubic root of 190880640 is about 575.7765336851.

The spelling of 190880640 in words is "one hundred ninety million, eight hundred eighty thousand, six hundred forty".