261139200 has 432 divisors, whose sum is σ = 1034100480. Its totient is φ = 56770560.

The previous prime is 261139187. The next prime is 261139213. The reversal of 261139200 is 2931162.

It is an interprime number because it is at equal distance from previous prime (261139187) and next prime (261139213).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3897567 + ... + 3897633.

Almost surely, 2^261139200 is an apocalyptic number.

261139200 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 261139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517050240).

261139200 is an abundant number, since it is smaller than the sum of its proper divisors (772961280).

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

261139200 is a wasteful number, since it uses less digits than its factorization.

261139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 261139200 is about 16159.8019789848. The cubic root of 261139200 is about 639.1812446754.

The spelling of 261139200 in words is "two hundred sixty-one million, one hundred thirty-nine thousand, two hundred".