166048520 has 128 divisors (see below), whose sum is σ = 438566400. Its totient is φ = 55910400.

The previous prime is 166048517. The next prime is 166048573. The reversal of 166048520 is 25840661.

It is a super-2 number, since 2×166048520² = 55144221988380800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 590780 + ... + 591060.

It is an arithmetic number, because the mean of its divisors is an integer number (3426300).

Almost surely, 2^166048520 is an apocalyptic number.

166048520 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 166048520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219283200).

166048520 is an abundant number, since it is smaller than the sum of its proper divisors (272517880).

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

166048520 is a wasteful number, since it uses less digits than its factorization.

166048520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 166048520 is about 12885.9815303298. The cubic root of 166048520 is about 549.6400068483.

The spelling of 166048520 in words is "one hundred sixty-six million, forty-eight thousand, five hundred twenty".