168793920 has 336 divisors, whose sum is σ = 627644160. Its totient is φ = 41545728.

The previous prime is 168793907. The next prime is 168793921. The reversal of 168793920 is 29397861.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168793921) 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, 3591337 + ... + 3591383.

Almost surely, 2^168793920 is an apocalyptic number.

168793920 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 168793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313822080).

168793920 is an abundant number, since it is smaller than the sum of its proper divisors (458850240).

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

168793920 is a wasteful number, since it uses less digits than its factorization.

168793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 168793920 is about 12992.0714283751. The cubic root of 168793920 is about 552.6526621674.

The spelling of 168793920 in words is "one hundred sixty-eight million, seven hundred ninety-three thousand, nine hundred twenty".