206951040 has 384 divisors, whose sum is σ = 789235200. Its totient is φ = 49766400.

The previous prime is 206951039. The next prime is 206951053. The reversal of 206951040 is 40159602.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 206950995 and 206951013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3392610 + ... + 3392670.

It is an arithmetic number, because the mean of its divisors is an integer number (2055300).

Almost surely, 2^206951040 is an apocalyptic number.

206951040 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 206951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394617600).

206951040 is an abundant number, since it is smaller than the sum of its proper divisors (582284160).

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

206951040 is a wasteful number, since it uses less digits than its factorization.

206951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 206951040 is about 14385.7929916984. The cubic root of 206951040 is about 591.5015282920.

The spelling of 206951040 in words is "two hundred six million, nine hundred fifty-one thousand, forty".