166035520 has 84 divisors (see below), whose sum is σ = 459966060. Its totient is φ = 56921088.

The previous prime is 166035511. The next prime is 166035521. The reversal of 166035520 is 25530661.

166035520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39337984 + 126697536 = 6272^2 + 11256^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (166035521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10386 + ... + 20974.

Almost surely, 2^166035520 is an apocalyptic number.

166035520 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 166035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229983030).

166035520 is an abundant number, since it is smaller than the sum of its proper divisors (293930540).

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

166035520 is a wasteful number, since it uses less digits than its factorization.

166035520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 10603 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 166035520 is about 12885.4770963283. The cubic root of 166035520 is about 549.6256626341.

The spelling of 166035520 in words is "one hundred sixty-six million, thirty-five thousand, five hundred twenty".