207481680 has 180 divisors, whose sum is σ = 810692532. Its totient is φ = 47416320.

The previous prime is 207481669. The next prime is 207481763. The reversal of 207481680 is 86184702.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 80784144 = 11256^2 + 8988^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32340 + ... + 38220.

Almost surely, 2^207481680 is an apocalyptic number.

207481680 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 207481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405346266).

207481680 is an abundant number, since it is smaller than the sum of its proper divisors (603210852).

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

207481680 is a wasteful number, since it uses less digits than its factorization.

207481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 207481680 is about 14404.2243803684. The cubic root of 207481680 is about 592.0066501566.

The spelling of 207481680 in words is "two hundred seven million, four hundred eighty-one thousand, six hundred eighty".