166520448 has 80 divisors (see below), whose sum is σ = 495593010. Its totient is φ = 55503360.

The previous prime is 166520443. The next prime is 166520449. The reversal of 166520448 is 844025661.

166520448 is a `hidden beast` number, since 166 + 52 + 0 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166100544 + 419904 = 12888^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (166520441) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2338 + ... + 18398.

Almost surely, 2^166520448 is an apocalyptic number.

166520448 is a gapful number since it is divisible by the number (18) 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 166520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247796505).

166520448 is an abundant number, since it is smaller than the sum of its proper divisors (329072562).

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

166520448 is an equidigital number, since it uses as much as digits as its factorization.

166520448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16087 (or 16066 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 166520448 is about 12904.2802201440. The cubic root of 166520448 is about 550.1602265963.

The spelling of 166520448 in words is "one hundred sixty-six million, five hundred twenty thousand, four hundred forty-eight".