166478760 has 384 divisors, whose sum is σ = 680313600. Its totient is φ = 35458560.

The previous prime is 166478723. The next prime is 166478783. The reversal of 166478760 is 67874661.

166478760 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×166478760² = 55430355062275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 2729130 + ... + 2729190.

It is an arithmetic number, because the mean of its divisors is an integer number (1771650).

Almost surely, 2^166478760 is an apocalyptic number.

166478760 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 166478760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340156800).

166478760 is an abundant number, since it is smaller than the sum of its proper divisors (513834840).

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

166478760 is a wasteful number, since it uses less digits than its factorization.

166478760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 166478760 is about 12902.6648410319. The cubic root of 166478760 is about 550.1143123278.

The spelling of 166478760 in words is "one hundred sixty-six million, four hundred seventy-eight thousand, seven hundred sixty".