205364796 has 96 divisors (see below), whose sum is σ = 599628288. Its totient is φ = 53256960.

The previous prime is 205364791. The next prime is 205364827. The reversal of 205364796 is 697463502.

It is a super-2 number, since 2×205364796² = 84349398872243232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205364791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65071 + ... + 68153.

It is an arithmetic number, because the mean of its divisors is an integer number (6246128).

Almost surely, 2^205364796 is an apocalyptic number.

205364796 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 205364796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299814144).

205364796 is an abundant number, since it is smaller than the sum of its proper divisors (394263492).

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

205364796 is a wasteful number, since it uses less digits than its factorization.

205364796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 205364796 is about 14330.5546298809. The cubic root of 205364796 is about 589.9863982309.

The spelling of 205364796 in words is "two hundred five million, three hundred sixty-four thousand, seven hundred ninety-six".