261900 has 72 divisors (see below), whose sum is σ = 850640. Its totient is φ = 69120.

The previous prime is 261887. The next prime is 261917. The reversal of 261900 is 9162.

It is a super-2 number, since 2×261900² = 137183220000, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2652 + ... + 2748.

2²⁶¹⁹⁰⁰ is an apocalyptic number.

261900 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 261900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425320).

261900 is an abundant number, since it is smaller than the sum of its proper divisors (588740).

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

261900 is a wasteful number, since it uses less digits than its factorization.

261900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 261900 is about 511.7616632770. The cubic root of 261900 is about 63.9801370652.

The spelling of 261900 in words is "two hundred sixty-one thousand, nine hundred".