261096000 has 448 divisors, whose sum is σ = 1004230656. Its totient is φ = 59136000.

The previous prime is 261095993. The next prime is 261096001. The reversal of 261096000 is 690162.

It is a super-2 number, since 2×261096000² = 136342242432000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (261096001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6071979 + ... + 6072021.

Almost surely, 2^261096000 is an apocalyptic number.

261096000 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 261096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502115328).

261096000 is an abundant number, since it is smaller than the sum of its proper divisors (743134656).

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

261096000 is a wasteful number, since it uses less digits than its factorization.

261096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

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

The square root of 261096000 is about 16158.4652736576. The cubic root of 261096000 is about 639.1459963576.

The spelling of 261096000 in words is "two hundred sixty-one million, ninety-six thousand".