166034016 has 96 divisors (see below), whose sum is σ = 499968000. Its totient is φ = 53550720.

The previous prime is 166034003. The next prime is 166034023. The reversal of 166034016 is 610430661.

166034016 is a `hidden beast` number, since 1 + 6 + 603 + 40 + 16 = 666.

166034016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23685 + ... + 29883.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^166034016 is an apocalyptic number.

166034016 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 166034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

166034016 is an abundant number, since it is smaller than the sum of its proper divisors (333933984).

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

166034016 is a wasteful number, since it uses less digits than its factorization.

166034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6249 (or 6235 counting only the distinct ones).

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

The square root of 166034016 is about 12885.4187359201. The cubic root of 166034016 is about 549.6240030706.

Adding to 166034016 its reverse (610430661), we get a palindrome (776464677).

The spelling of 166034016 in words is "one hundred sixty-six million, thirty-four thousand, sixteen".