166536216 has 512 divisors, whose sum is σ = 663552000. Its totient is φ = 37324800.

The previous prime is 166536193. The next prime is 166536259. The reversal of 166536216 is 612635661.

It is a super-2 number, since 2×166536216² = 55468622479197312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5372121 + ... + 5372151.

It is an arithmetic number, because the mean of its divisors is an integer number (1296000).

Almost surely, 2^166536216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166536216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331776000).

166536216 is an abundant number, since it is smaller than the sum of its proper divisors (497015784).

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

166536216 is a wasteful number, since it uses less digits than its factorization.

166536216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 166536216 is about 12904.8911657557. The cubic root of 166536216 is about 550.1775911357.

The spelling of 166536216 in words is "one hundred sixty-six million, five hundred thirty-six thousand, two hundred sixteen".