192681984 has 96 divisors (see below), whose sum is σ = 560589120. Its totient is φ = 58368000.

The previous prime is 192681959. The next prime is 192681989. The reversal of 192681984 is 489186291.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192681989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66159 + ... + 69009.

It is an arithmetic number, because the mean of its divisors is an integer number (5839470).

Almost surely, 2^192681984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280294560).

192681984 is an abundant number, since it is smaller than the sum of its proper divisors (367907136).

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

192681984 is a wasteful number, since it uses less digits than its factorization.

192681984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2867 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 192681984 is about 13880.9936243772. The cubic root of 192681984 is about 577.5820703811.

The spelling of 192681984 in words is "one hundred ninety-two million, six hundred eighty-one thousand, nine hundred eighty-four".