166537440 has 144 divisors (see below), whose sum is σ = 601827408. Its totient is φ = 41791488.

The previous prime is 166537417. The next prime is 166537453. The reversal of 166537440 is 44735661.

It is a happy number.

166537440 is a `hidden beast` number, since 166 + 53 + 7 + 440 = 666.

166537440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 166537395 and 166537404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21079 + ... + 27881.

It is an arithmetic number, because the mean of its divisors is an integer number (4179357).

Almost surely, 2^166537440 is an apocalyptic number.

166537440 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 166537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300913704).

166537440 is an abundant number, since it is smaller than the sum of its proper divisors (435289968).

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

166537440 is a wasteful number, since it uses less digits than its factorization.

166537440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6830 counting only the distinct ones).

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

The square root of 166537440 is about 12904.9385895478. The cubic root of 166537440 is about 550.1789390222.

The spelling of 166537440 in words is "one hundred sixty-six million, five hundred thirty-seven thousand, four hundred forty".