166308480 has 192 divisors, whose sum is σ = 618738120. Its totient is φ = 40919040.

The previous prime is 166308473. The next prime is 166308487. The reversal of 166308480 is 84803661.

It is a happy number.

166308480 is a `hidden beast` number, since 16 + 630 + 8 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (166308473) and next prime (166308487).

It can be written as a sum of positive squares in 4 ways, for example, as 118200384 + 48108096 = 10872^2 + 6936^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

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

It is not an unprimeable number, because it can be changed into a prime (166308487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73770 + ... + 75990.

Almost surely, 2^166308480 is an apocalyptic number.

166308480 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 166308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309369060).

166308480 is an abundant number, since it is smaller than the sum of its proper divisors (452429640).

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

166308480 is a wasteful number, since it uses less digits than its factorization.

166308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 166308480 is about 12896.0645159677. The cubic root of 166308480 is about 549.9266899534.

The spelling of 166308480 in words is "one hundred sixty-six million, three hundred eight thousand, four hundred eighty".