166047420 has 192 divisors, whose sum is σ = 586285056. Its totient is φ = 34110720.

The previous prime is 166047407. The next prime is 166047421. The reversal of 166047420 is 24740661.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166047421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586599 + ... + 586881.

It is an arithmetic number, because the mean of its divisors is an integer number (3053568).

Almost surely, 2^166047420 is an apocalyptic number.

166047420 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 166047420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293142528).

166047420 is an abundant number, since it is smaller than the sum of its proper divisors (420237636).

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

166047420 is a wasteful number, since it uses less digits than its factorization.

166047420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 166047420 is about 12885.9388482175. The cubic root of 166047420 is about 549.6387931361.

The spelling of 166047420 in words is "one hundred sixty-six million, forty-seven thousand, four hundred twenty".