205977960 has 48 divisors (see below), whose sum is σ = 669429540. Its totient is φ = 54927360.

The previous prime is 205977953. The next prime is 205977983. The reversal of 205977960 is 69779502.

205977960 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189282564 + 16695396 = 13758^2 + 4086^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285721 + ... + 286440.

Almost surely, 2^205977960 is an apocalyptic number.

205977960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205977960 is an abundant number, since it is smaller than the sum of its proper divisors (463451580).

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

205977960 is a wasteful number, since it uses less digits than its factorization.

205977960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572178 (or 572171 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 205977960 is about 14351.9322740877. The cubic root of 205977960 is about 590.5729950011.

The spelling of 205977960 in words is "two hundred five million, nine hundred seventy-seven thousand, nine hundred sixty".