205293088 has 288 divisors, whose sum is σ = 597663360. Its totient is φ = 67092480.

The previous prime is 205293079. The next prime is 205293097. The reversal of 205293088 is 880392502.

It is an interprime number because it is at equal distance from previous prime (205293079) and next prime (205293097).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7079058 + ... + 7079086.

It is an arithmetic number, because the mean of its divisors is an integer number (2075220).

Almost surely, 2^205293088 is an apocalyptic number.

205293088 is a gapful number since it is divisible by the number (28) 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 205293088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298831680).

205293088 is an abundant number, since it is smaller than the sum of its proper divisors (392370272).

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

205293088 is a wasteful number, since it uses less digits than its factorization.

205293088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 205293088 is about 14328.0524845493. The cubic root of 205293088 is about 589.9177209786.

The spelling of 205293088 in words is "two hundred five million, two hundred ninety-three thousand, eighty-eight".