261261800 has 48 divisors (see below), whose sum is σ = 627043200. Its totient is φ = 101131200.

The previous prime is 261261787. The next prime is 261261811. The reversal of 261261800 is 8162162.

261261800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 261261800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14870 + ... + 27269.

It is an arithmetic number, because the mean of its divisors is an integer number (13063400).

Almost surely, 2^261261800 is an apocalyptic number.

261261800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261261800 is an abundant number, since it is smaller than the sum of its proper divisors (365781400).

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

261261800 is a wasteful number, since it uses less digits than its factorization.

261261800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42186 (or 42177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 261261800 is about 16163.5948971756. The cubic root of 261261800 is about 639.2812569299.

The spelling of 261261800 in words is "two hundred sixty-one million, two hundred sixty-one thousand, eight hundred".