209096640 has 168 divisors, whose sum is σ = 746119920. Its totient is φ = 55738368.

The previous prime is 209096627. The next prime is 209096707. The reversal of 209096640 is 46690902.

209096640 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 9 + 6 + 640 = 666.

209096640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 209096595 and 209096604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76416 + ... + 79104.

It is an arithmetic number, because the mean of its divisors is an integer number (4441190).

Almost surely, 2^209096640 is an apocalyptic number.

209096640 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 209096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373059960).

209096640 is an abundant number, since it is smaller than the sum of its proper divisors (537023280).

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

209096640 is an equidigital number, since it uses as much as digits as its factorization.

209096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 209096640 is about 14460.1742728087. The cubic root of 209096640 is about 593.5386684284.

The spelling of 209096640 in words is "two hundred nine million, ninety-six thousand, six hundred forty".