261030000 has 400 divisors, whose sum is σ = 1059860736. Its totient is φ = 53760000.

The previous prime is 261029947. The next prime is 261030023. The reversal of 261030000 is 30162.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 2309944 + ... + 2310056.

Almost surely, 2^261030000 is an apocalyptic number.

261030000 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 261030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529930368).

261030000 is an abundant number, since it is smaller than the sum of its proper divisors (798830736).

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

261030000 is a wasteful number, since it uses less digits than its factorization.

261030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 261030000 is about 16156.4228714156. The cubic root of 261030000 is about 639.0921372525.

Adding to 261030000 its reverse (30162), we get a palindrome (261060162).

The spelling of 261030000 in words is "two hundred sixty-one million, thirty thousand".