166464540 has 108 divisors (see below), whose sum is σ = 555091992. Its totient is φ = 40349760.

The previous prime is 166464539. The next prime is 166464559. The reversal of 166464540 is 45464661.

166464540 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 645 + 4 + 0 = 666.

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 = 166464495 and 166464504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17959 + ... + 25601.

Almost surely, 2^166464540 is an apocalyptic number.

166464540 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 166464540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277545996).

166464540 is an abundant number, since it is smaller than the sum of its proper divisors (388627452).

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

166464540 is a wasteful number, since it uses less digits than its factorization.

166464540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 166464540 is about 12902.1137803075. The cubic root of 166464540 is about 550.0986489718.

The spelling of 166464540 in words is "one hundred sixty-six million, four hundred sixty-four thousand, five hundred forty".