166745340 has 72 divisors (see below), whose sum is σ = 511933968. Its totient is φ = 43925760.

The previous prime is 166745339. The next prime is 166745407. The reversal of 166745340 is 43547661.

It is a happy number.

166745340 is a `hidden beast` number, since 166 + 7 + 453 + 40 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 166745295 and 166745304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9360 + ... + 20520.

It is an arithmetic number, because the mean of its divisors is an integer number (7110194).

Almost surely, 2^166745340 is an apocalyptic number.

166745340 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 166745340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255966984).

166745340 is an abundant number, since it is smaller than the sum of its proper divisors (345188628).

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

166745340 is a wasteful number, since it uses less digits than its factorization.

166745340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 166745340 is about 12912.9911329637. The cubic root of 166745340 is about 550.4077857355.

The spelling of 166745340 in words is "one hundred sixty-six million, seven hundred forty-five thousand, three hundred forty".