190116960 has 96 divisors (see below), whose sum is σ = 653329152. Its totient is φ = 46087680.

The previous prime is 190116943. The next prime is 190116977. The reversal of 190116960 is 69611091.

It is an interprime number because it is at equal distance from previous prime (190116943) and next prime (190116977).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×190116960² = 72288916959283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12724 + ... + 23283.

It is an arithmetic number, because the mean of its divisors is an integer number (6805512).

Almost surely, 2^190116960 is an apocalyptic number.

190116960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190116960 is an abundant number, since it is smaller than the sum of its proper divisors (463212192).

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

190116960 is a wasteful number, since it uses less digits than its factorization.

190116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36036 (or 36028 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 190116960 is about 13788.2906844902. The cubic root of 190116960 is about 575.0076470313.

The spelling of 190116960 in words is "one hundred ninety million, one hundred sixteen thousand, nine hundred sixty".