261262600 has 24 divisors (see below), whose sum is σ = 607436010. Its totient is φ = 104504960.

The previous prime is 261262591. The next prime is 261262607. The reversal of 261262600 is 6262162.

It can be written as a sum of positive squares in 3 ways, for example, as 167598916 + 93663684 = 12946^2 + 9678^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (261262607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 652957 + ... + 653356.

Almost surely, 2^261262600 is an apocalyptic number.

261262600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261262600 is an abundant number, since it is smaller than the sum of its proper divisors (346173410).

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

261262600 is a wasteful number, since it uses less digits than its factorization.

261262600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306329 (or 1306320 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 261262600 is about 16163.6196441267. The cubic root of 261262600 is about 639.2819094356.

The spelling of 261262600 in words is "two hundred sixty-one million, two hundred sixty-two thousand, six hundred".