166747392 has 216 divisors, whose sum is σ = 563326400. Its totient is φ = 47416320.

The previous prime is 166747391. The next prime is 166747397. The reversal of 166747392 is 293747661.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166747391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790167 + ... + 790377.

Almost surely, 2^166747392 is an apocalyptic number.

166747392 is a gapful number since it is divisible by the number (12) 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 166747392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281663200).

166747392 is an abundant number, since it is smaller than the sum of its proper divisors (396579008).

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

166747392 is an equidigital number, since it uses as much as digits as its factorization.

166747392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 223 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 166747392 is about 12913.0705875868. The cubic root of 166747392 is about 550.4100435341.

The spelling of 166747392 in words is "one hundred sixty-six million, seven hundred forty-seven thousand, three hundred ninety-two".