245587680 has 192 divisors, whose sum is σ = 925888320. Its totient is φ = 60438528.

The previous prime is 245587669. The next prime is 245587697. The reversal of 245587680 is 86785542.

245587680 is a `hidden beast` number, since 2 + 4 + 5 + 587 + 68 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53974 + ... + 58346.

It is an arithmetic number, because the mean of its divisors is an integer number (4822335).

Almost surely, 2^245587680 is an apocalyptic number.

245587680 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 245587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462944160).

245587680 is an abundant number, since it is smaller than the sum of its proper divisors (680300640).

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

245587680 is a wasteful number, since it uses less digits than its factorization.

245587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 245587680 is about 15671.2373474464. The cubic root of 245587680 is about 626.2323886187.

The spelling of 245587680 in words is "two hundred forty-five million, five hundred eighty-seven thousand, six hundred eighty".