207255120 has 80 divisors (see below), whose sum is σ = 652130880. Its totient is φ = 54438912.

The previous prime is 207255091. The next prime is 207255121. The reversal of 207255120 is 21552702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207255121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9636 + ... + 22524.

It is an arithmetic number, because the mean of its divisors is an integer number (8151636).

Almost surely, 2^207255120 is an apocalyptic number.

207255120 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 207255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326065440).

207255120 is an abundant number, since it is smaller than the sum of its proper divisors (444875760).

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

207255120 is a wasteful number, since it uses less digits than its factorization.

207255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12972 (or 12966 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 207255120 is about 14396.3578727399. The cubic root of 207255120 is about 591.7910907626.

The spelling of 207255120 in words is "two hundred seven million, two hundred fifty-five thousand, one hundred twenty".