260101620 has 72 divisors (see below), whose sum is σ = 797162184. Its totient is φ = 68640768.

The previous prime is 260101607. The next prime is 260101627. The reversal of 260101620 is 26101062.

It is a happy number.

260101620 is a `hidden beast` number, since 2 + 601 + 0 + 1 + 62 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72795024 + 187306596 = 8532^2 + 13686^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 260101593 and 260101602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260101627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10012 + ... + 24908.

It is an arithmetic number, because the mean of its divisors is an integer number (11071697).

Almost surely, 2^260101620 is an apocalyptic number.

260101620 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 260101620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398581092).

260101620 is an abundant number, since it is smaller than the sum of its proper divisors (537060564).

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

260101620 is a wasteful number, since it uses less digits than its factorization.

260101620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15009 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 260101620 is about 16127.6662911904. Note that the first 3 decimals coincide. The cubic root of 260101620 is about 638.3335716303. Note that the first 3 decimals are identical.

Adding to 260101620 its reverse (26101062), we get a palindrome (286202682).

The spelling of 260101620 in words is "two hundred sixty million, one hundred one thousand, six hundred twenty".