194971920 has 480 divisors, whose sum is σ = 784235520. Its totient is φ = 39536640.

The previous prime is 194971879. The next prime is 194971951. The reversal of 194971920 is 29179491.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8477029 + ... + 8477051.

It is an arithmetic number, because the mean of its divisors is an integer number (1633824).

Almost surely, 2^194971920 is an apocalyptic number.

194971920 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 194971920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392117760).

194971920 is an abundant number, since it is smaller than the sum of its proper divisors (589263600).

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

194971920 is a wasteful number, since it uses less digits than its factorization.

194971920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 194971920 is about 13963.2345822879. The cubic root of 194971920 is about 579.8611637567.

The spelling of 194971920 in words is "one hundred ninety-four million, nine hundred seventy-one thousand, nine hundred twenty".