166192416 has 72 divisors (see below), whose sum is σ = 508975740. Its totient is φ = 51134976.

The previous prime is 166192387. The next prime is 166192421. The reversal of 166192416 is 614291661.

166192416 is a `hidden beast` number, since 1 + 6 + 619 + 24 + 16 = 666.

166192416 is digitally balanced in base 2, 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 163942416 + 2250000 = 12804^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18451 + ... + 25938.

Almost surely, 2^166192416 is an apocalyptic number.

166192416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166192416 is an abundant number, since it is smaller than the sum of its proper divisors (342783324).

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

166192416 is a wasteful number, since it uses less digits than its factorization.

166192416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44418 (or 44407 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 166192416 is about 12891.5637530906. The cubic root of 166192416 is about 549.7987318662.

The spelling of 166192416 in words is "one hundred sixty-six million, one hundred ninety-two thousand, four hundred sixteen".