166871040 has 240 divisors, whose sum is σ = 616543872. Its totient is φ = 37748736.

The previous prime is 166871039. The next prime is 166871041. The reversal of 166871040 is 40178661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (166871039) and next prime (166871041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 166870992 and 166871010.

It is not an unprimeable number, because it can be changed into a prime (166871041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1720272 + ... + 1720368.

Almost surely, 2^166871040 is an apocalyptic number.

166871040 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 166871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308271936).

166871040 is an abundant number, since it is smaller than the sum of its proper divisors (449672832).

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

166871040 is an frugal number, since it uses more digits than its factorization.

166871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 166871040 is about 12917.8574074805. The cubic root of 166871040 is about 550.5460582268.

The spelling of 166871040 in words is "one hundred sixty-six million, eight hundred seventy-one thousand, forty".