260620416 has 384 divisors, whose sum is σ = 953496000. Its totient is φ = 70543872.

The previous prime is 260620403. The next prime is 260620513. The reversal of 260620416 is 614026062.

It is a happy number.

260620416 is a `hidden beast` number, since 26 + 0 + 620 + 4 + 16 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 260620416.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13716855 + ... + 13716873.

Almost surely, 2^260620416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476748000).

260620416 is an abundant number, since it is smaller than the sum of its proper divisors (692875584).

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

260620416 is an frugal number, since it uses more digits than its factorization.

260620416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 260620416 is about 16143.7423170713. The cubic root of 260620416 is about 638.7576942840.

Adding to 260620416 its reverse (614026062), we get a palindrome (874646478).

The spelling of 260620416 in words is "two hundred sixty million, six hundred twenty thousand, four hundred sixteen".