166051216 has 40 divisors (see below), whose sum is σ = 336641400. Its totient is φ = 79242240.

The previous prime is 166051213. The next prime is 166051219. The reversal of 166051216 is 612150661.

It is an interprime number because it is at equal distance from previous prime (166051213) and next prime (166051219).

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 165894400 = 396^2 + 12880^2 .

It is a super-3 number, since 3×166051216³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (166051213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39286 + ... + 43306.

It is an arithmetic number, because the mean of its divisors is an integer number (8416035).

Almost surely, 2^166051216 is an apocalyptic number.

166051216 is a gapful number since it is divisible by the number (16) 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 166051216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168320700).

166051216 is an abundant number, since it is smaller than the sum of its proper divisors (170590184).

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

166051216 is a wasteful number, since it uses less digits than its factorization.

166051216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 166051216 is about 12886.0861397090. The cubic root of 166051216 is about 549.6429815238.

The spelling of 166051216 in words is "one hundred sixty-six million, fifty-one thousand, two hundred sixteen".