190706880 has 448 divisors, whose sum is σ = 778337280. Its totient is φ = 38486016.

The previous prime is 190706839. The next prime is 190706881. The reversal of 190706880 is 88607091.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×190706880² = 72738228158668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (190706881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3232291 + ... + 3232349.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 2^190706880 is an apocalyptic number.

190706880 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 190706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389168640).

190706880 is an abundant number, since it is smaller than the sum of its proper divisors (587630400).

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

190706880 is a wasteful number, since it uses less digits than its factorization.

190706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 190706880 is about 13809.6661798901. Note that the first 3 decimals coincide. The cubic root of 190706880 is about 575.6017694909.

The spelling of 190706880 in words is "one hundred ninety million, seven hundred six thousand, eight hundred eighty".