261022608 has 480 divisors, whose sum is σ = 1017792000. Its totient is φ = 63141120.

The previous prime is 261022579. The next prime is 261022621. The reversal of 261022608 is 806220162.

261022608 is a `hidden beast` number, since 26 + 10 + 22 + 608 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4424083 + ... + 4424141.

It is an arithmetic number, because the mean of its divisors is an integer number (2120400).

Almost surely, 2^261022608 is an apocalyptic number.

261022608 is a gapful number since it is divisible by the number (28) 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 261022608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896000).

261022608 is an abundant number, since it is smaller than the sum of its proper divisors (756769392).

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

261022608 is a wasteful number, since it uses less digits than its factorization.

261022608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 261022608 is about 16156.1941062863. The cubic root of 261022608 is about 639.0861044675.

The spelling of 261022608 in words is "two hundred sixty-one million, twenty-two thousand, six hundred eight".