208948896 has 252 divisors, whose sum is σ = 680464638. Its totient is φ = 63078912.

The previous prime is 208948889. The next prime is 208948903. The reversal of 208948896 is 698849802.

It is an interprime number because it is at equal distance from previous prime (208948889) and next prime (208948903).

It can be written as a sum of positive squares in 3 ways, for example, as 128595600 + 80353296 = 11340^2 + 8964^2 .

It is a super-2 number, since 2×208948896² = 87319282279237632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3942406 + ... + 3942458.

Almost surely, 2^208948896 is an apocalyptic number.

208948896 is a gapful number since it is divisible by the number (26) 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 208948896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340232319).

208948896 is an abundant number, since it is smaller than the sum of its proper divisors (471515742).

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

208948896 is an equidigital number, since it uses as much as digits as its factorization.

208948896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 208948896 is about 14455.0647179457. The cubic root of 208948896 is about 593.3988408364.

The spelling of 208948896 in words is "two hundred eight million, nine hundred forty-eight thousand, eight hundred ninety-six".