194964 has 48 divisors (see below), whose sum is σ = 569856. Its totient is φ = 50400.

The previous prime is 194963. The next prime is 194977. The reversal of 194964 is 469491.

It is a super-2 number, since 2×194964² = 76021922592, 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 not an unprimeable number, because it can be changed into a prime (194963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (11872).

2¹⁹⁴⁹⁶⁴ is an apocalyptic number.

194964 is a gapful number since it is divisible by the number (14) 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 194964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284928).

194964 is an abundant number, since it is smaller than the sum of its proper divisors (374892).

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

194964 is a wasteful number, since it uses less digits than its factorization.

194964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 194964 is about 441.5472794617. The cubic root of 194964 is about 57.9853312092.

The spelling of 194964 in words is "one hundred ninety-four thousand, nine hundred sixty-four".