166123620 has 216 divisors, whose sum is σ = 562738176. Its totient is φ = 39626496.

The previous prime is 166123561. The next prime is 166123667. The reversal of 166123620 is 26321661.

166123620 is a `hidden beast` number, since 16 + 6 + 1 + 23 + 620 = 666.

166123620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1307997 + ... + 1308123.

Almost surely, 2^166123620 is an apocalyptic number.

166123620 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 166123620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281369088).

166123620 is an abundant number, since it is smaller than the sum of its proper divisors (396614556).

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

166123620 is a wasteful number, since it uses less digits than its factorization.

166123620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166123620 is about 12888.8952203050. The cubic root of 166123620 is about 549.7228576179.

It can be divided in two parts, 1661 and 23620, that added together give a square (25281 = 159²).

The spelling of 166123620 in words is "one hundred sixty-six million, one hundred twenty-three thousand, six hundred twenty".