261868600 has 48 divisors (see below), whose sum is σ = 695826000. Its totient is φ = 89783040.

The previous prime is 261868589. The next prime is 261868603. The reversal of 261868600 is 6868162.

It is a self number, because there is not a number n which added to its sum of digits gives 261868600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261868603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92125 + ... + 94924.

It is an arithmetic number, because the mean of its divisors is an integer number (14496375).

Almost surely, 2^261868600 is an apocalyptic number.

261868600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261868600 is an abundant number, since it is smaller than the sum of its proper divisors (433957400).

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

261868600 is a wasteful number, since it uses less digits than its factorization.

261868600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187072 (or 187063 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 261868600 is about 16182.3545876365. The cubic root of 261868600 is about 639.7758003756.

The spelling of 261868600 in words is "two hundred sixty-one million, eight hundred sixty-eight thousand, six hundred".