190200960 has 192 divisors, whose sum is σ = 681670080. Its totient is φ = 50678784.

The previous prime is 190200919. The next prime is 190200971. The reversal of 190200960 is 69002091.

It is a happy number.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154909 + ... + 156131.

It is an arithmetic number, because the mean of its divisors is an integer number (3550365).

Almost surely, 2^190200960 is an apocalyptic number.

190200960 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 190200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340835040).

190200960 is an abundant number, since it is smaller than the sum of its proper divisors (491469120).

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

190200960 is an equidigital number, since it uses as much as digits as its factorization.

190200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 190200960 is about 13791.3364109502. The cubic root of 190200960 is about 575.0923204002.

The spelling of 190200960 in words is "one hundred ninety million, two hundred thousand, nine hundred sixty".