261094200 has 192 divisors, whose sum is σ = 876432000. Its totient is φ = 64074240.

The previous prime is 261094199. The next prime is 261094201. The reversal of 261094200 is 2490162.

It is an interprime number because it is at equal distance from previous prime (261094199) and next prime (261094201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261094201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421491 + ... + 422109.

It is an arithmetic number, because the mean of its divisors is an integer number (4564750).

Almost surely, 2^261094200 is an apocalyptic number.

261094200 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 261094200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438216000).

261094200 is an abundant number, since it is smaller than the sum of its proper divisors (615337800).

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

261094200 is a wasteful number, since it uses less digits than its factorization.

261094200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 261094200 is about 16158.4095752026. The cubic root of 261094200 is about 639.1445275933.

The spelling of 261094200 in words is "two hundred sixty-one million, ninety-four thousand, two hundred".