166208240 has 80 divisors (see below), whose sum is σ = 428008320. Its totient is φ = 59516160.

The previous prime is 166208233. The next prime is 166208249. The reversal of 166208240 is 42802661.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166208249) 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, 57551 + ... + 60369.

It is an arithmetic number, because the mean of its divisors is an integer number (5350104).

Almost surely, 2^166208240 is an apocalyptic number.

166208240 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 166208240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214004160).

166208240 is an abundant number, since it is smaller than the sum of its proper divisors (261800080).

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

166208240 is a wasteful number, since it uses less digits than its factorization.

166208240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 166208240 is about 12892.1774731812. The cubic root of 166208240 is about 549.8161809958.

The spelling of 166208240 in words is "one hundred sixty-six million, two hundred eight thousand, two hundred forty".