166098240 has 504 divisors, whose sum is σ = 731776032. Its totient is φ = 34191360.

The previous prime is 166098239. The next prime is 166098259. The reversal of 166098240 is 42890661.

166098240 is a `hidden beast` number, since 1 + 6 + 609 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 166098195 and 166098204.

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 71 ways as a sum of consecutive naturals, for example, 1552267 + ... + 1552373.

Almost surely, 2^166098240 is an apocalyptic number.

166098240 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 166098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365888016).

166098240 is an abundant number, since it is smaller than the sum of its proper divisors (565677792).

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

166098240 is a wasteful number, since it uses less digits than its factorization.

166098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 166098240 is about 12887.9106142152. The cubic root of 166098240 is about 549.6948610438.

The spelling of 166098240 in words is "one hundred sixty-six million, ninety-eight thousand, two hundred forty".