192838968 has 192 divisors, whose sum is σ = 637378560. Its totient is φ = 53467776.

The previous prime is 192838967. The next prime is 192839011. The reversal of 192838968 is 869838291.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1492992) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192838967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503305 + ... + 503687.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2^192838968 is an apocalyptic number.

192838968 is a gapful number since it is divisible by the number (18) 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 192838968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318689280).

192838968 is an abundant number, since it is smaller than the sum of its proper divisors (444539592).

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

192838968 is a wasteful number, since it uses less digits than its factorization.

192838968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 192838968 is about 13886.6471115241. The cubic root of 192838968 is about 577.7388858217.

It can be divided in two parts, 192 and 838968, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 192838968 in words is "one hundred ninety-two million, eight hundred thirty-eight thousand, nine hundred sixty-eight".