205634040 has 64 divisors (see below), whose sum is σ = 653196960. Its totient is φ = 51609600.

The previous prime is 205634029. The next prime is 205634087. The reversal of 205634040 is 40436502.

205634040 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 205634040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48361 + ... + 52440.

Almost surely, 2^205634040 is an apocalyptic number.

205634040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205634040 is an abundant number, since it is smaller than the sum of its proper divisors (447562920).

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

205634040 is a wasteful number, since it uses less digits than its factorization.

205634040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100832 (or 100828 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 205634040 is about 14339.9456065914. The cubic root of 205634040 is about 590.2441199876.

The spelling of 205634040 in words is "two hundred five million, six hundred thirty-four thousand, forty".