261396000 has 288 divisors, whose sum is σ = 952097328. Its totient is φ = 67891200.

The previous prime is 261395993. The next prime is 261396001. The reversal of 261396000 is 693162.

It is a happy number.

261396000 is a `hidden beast` number, since 26 + 1 + 39 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28772496 + 232623504 = 5364^2 + 15252^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261396001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1907932 + ... + 1908068.

Almost surely, 2^261396000 is an apocalyptic number.

261396000 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 261396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476048664).

261396000 is an abundant number, since it is smaller than the sum of its proper divisors (690701328).

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

261396000 is a wasteful number, since it uses less digits than its factorization.

261396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 261396000 is about 16167.7456684598. The cubic root of 261396000 is about 639.3906961458.

The spelling of 261396000 in words is "two hundred sixty-one million, three hundred ninety-six thousand".