208148160 has 224 divisors, whose sum is σ = 753172992. Its totient is φ = 48209920.

The previous prime is 208148159. The next prime is 208148177. The reversal of 208148160 is 61841802.

It is a super-2 number, since 2×208148160² = 86651313022771200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242452 + ... + 243308.

Almost surely, 2^208148160 is an apocalyptic number.

208148160 is a gapful number since it is divisible by the number (20) 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 208148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376586496).

208148160 is an abundant number, since it is smaller than the sum of its proper divisors (545024832).

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

208148160 is a wasteful number, since it uses less digits than its factorization.

208148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 208148160 is about 14427.3407113023. The cubic root of 208148160 is about 592.6398608746.

Adding to 208148160 its reverse (61841802), we get a palindrome (269989962).

The spelling of 208148160 in words is "two hundred eight million, one hundred forty-eight thousand, one hundred sixty".