166435440 has 240 divisors, whose sum is σ = 581668128. Its totient is φ = 39223296.

The previous prime is 166435417. The next prime is 166435447. The reversal of 166435440 is 44534661.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (166435447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1472824 + ... + 1472936.

Almost surely, 2^166435440 is an apocalyptic number.

166435440 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 166435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290834064).

166435440 is an abundant number, since it is smaller than the sum of its proper divisors (415232688).

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

166435440 is a wasteful number, since it uses less digits than its factorization.

166435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 166435440 is about 12900.9860088289. The cubic root of 166435440 is about 550.0665924878.

The spelling of 166435440 in words is "one hundred sixty-six million, four hundred thirty-five thousand, four hundred forty".